{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving averages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "sales_data = pd.read_csv('sales.csv')\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot original sales data\n",
    "plt.plot(sales_data['Time'], sales_data['Sales'], label=\"Sales-Original\")\n",
    "# Rotate xlabels\n",
    "plt.xticks(rotation=60)\n",
    "# Add legends\n",
    "plt.legend()\n",
    "#display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Moving average with window 3\n",
    "sales_data['3MA']=sales_data['Sales'].rolling(window=3).mean()\n",
    "# Moving average with window 5\n",
    "sales_data['5MA']=sales_data['Sales'].rolling(window=5).mean()\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot original sales data\n",
    "plt.plot(sales_data['Time'], sales_data['Sales'], label=\"Sales-Original\", color=\"blue\")\n",
    "# Plot 3-Moving Average of sales data\n",
    "plt.plot(sales_data['Time'], sales_data['3MA'], label=\"3-Moving Average(3MA)\", color=\"green\")\n",
    "# Plot 5-Moving Average of sales data\n",
    "plt.plot(sales_data['Time'], sales_data['5MA'], label=\"5-Moving Average(5MA)\", color=\"red\")\n",
    "# Rotate xlabels\n",
    "plt.xticks(rotation=60)\n",
    "# Add legends\n",
    "plt.legend()\n",
    "#display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Window Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sales</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Time</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>01/01/17</th>\n",
       "      <td>271.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/02/17</th>\n",
       "      <td>151.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/03/17</th>\n",
       "      <td>188.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/04/17</th>\n",
       "      <td>124.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/05/17</th>\n",
       "      <td>185.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Sales\n",
       "Time           \n",
       "01/01/17  271.5\n",
       "01/02/17  151.4\n",
       "01/03/17  188.6\n",
       "01/04/17  124.8\n",
       "01/05/17  185.8"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "sales_data = pd.read_csv('sales.csv', index_col =\"Time\")\n",
    "\n",
    "# Show initial 5 records\n",
    "sales_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f7f69669610>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QYhh9pRaS441YWfCHIrS5/IPOQbSGldkYAUCfPxEAU0kJkd3bMFn1RzWwendPO/vbe8bVaBWcICNWI40sHS9Wa/yiY08++SRtbW1s2rQJvV5PUVERPl/0H6bRePgfplarxev1Mh72ZxRCCCHisfcGTdlxRqwK+q0MjHfe4/BjUqJ//wwFBQAYS0pwv/sutgXGoxpY/Xn9ATKTDJxbkXvU7nk0yIjVMJKTk3G5XCO2czgcZGdno9frWbt2LQcOHBi2fVpaGsnJyXzwwQcA/PWvfz0q/RVCCCE+L3vviFX8HKvhSy70dPsxBlwoZjPajAwATCXTIRTCagrhOErV1xs7PazZ2cplNYUDam2NByfEiNVYycjIYNGiRZSXl2M2m8nJyYnb7oorrmDp0qVUV1dTVVVFaWnpiPd+9NFHufbaa7FarSxZsoSUlPEzPyyEEOLkFduAOSvOVODENDOKEj+wilVd19OBIX9iXw6WsfdvoiXk4ECHiUg4gkb7+cZ1nvywAQW4fH7h57rPsSCB1QieeuqpIc+53dGS/ZmZmaxfvz5um9ra2r7Pt9xyS9/nsrIyPv30UyCaJF9dXX00uiuEEEJ8LnaXj7Qjqq7HGHVa8mymuIGV1xVAVUHvaEE/8XBNKUNhIYrRiMlxkEhkMu4uP7ZM82funy8Y5pkNDZw9M5cJqZ/9PseKTAWOkZdeeomqqirKy8t55513uP3228e6S0IIIQStTn/cFYExQ9WyilVd19kb0OcfDqwUnQ7jtGkYDu0B+Nx5Vi9+2kKXJ8jVCyZ9rvscKzJiNUYuvfRSLr300rHuhhBCCDGA3emLOw0YU5hu4e26tkHHY8VB9U47hoIvDzhnLC1B+94nUHoWzs+ZZ/XE+nqmZSexYGrG57rPsSIjVkIIIYToY3cNP2JVmG6h1enHFwwPOB7bzsYY6B4wYgXRkgu61v1oNOD4HCNWWxq7+aTJwdULJsWtozUeSGAlhBBCCCCagG4foup6TGFGdGXgkdOBPb1TgYaAE31+wYBzxuklaNQIVquC83NUX//z+nqsBi1fmz3xM9/jWJPASgghhBAAdPQECEfUQfsE9jdUyYUehx+jLoxGjWDIHxj4GEuiW9tYFc9nzrHq7Anw4qctLJuTT7JJ/5nucTxIjpUQQgghgOiKQIhfwypmqMDK4whgwos2LQ3NEQW1dWlp6HJyMHnbaAknf6a+PbOhkUAoMm6T1mNkxGoY9fX1Y7Y58saNG/nOd74zJs8WQghxcrI7h666HpNuNWA1aAePWHX7MQYc6AsK4l5nLJmOsaMBf08Ivyc4qn6Fe/cFXDAlg+KczxaYHS8SWI1T1dXV/PrXvx7rbgghhDiJDLdPYIyiKHFLLvQ4/OjdHYOmAWNMJaXoD+4GGPXKwDd32mnu9o770SqQwGpE4XCYa6+9lrKyMs4++2y8Xi9//OMfqampYdasWVx00UV4PNF/XMuXL+f666/n9NNPZ8qUKbz11lusWLGCGTNmsHz58r57JiUlceuttzJ37lzOPPNMPvroI5YsWcKUKVNYvXo1AOvWreO8884DYOXKlaxYsaKvTf+A66677qK0tJSzzjqLb3zjG9x3333H78sRQgjxhRLbJ3C4cgsQnQ7sP2IViah4nQH03S2DEtdjjCUlmN2twOhrWf15fT15KSbOmhl/B5TxJKEcK0VRUoFHgHJABVYAu4BngCKgHrhEVdWu3vY/Av4NCAPfUVX11c/TyUM/+xn+HTs/zy0GMc4oJffHPx6xXV1dHU8//TR//OMfueSSS3juuedYtmwZ1157LQC33347jz76KDfffDMAXV1dvPnmm6xevZqlS5fy3nvv8cgjj1BTU8OWLVuoqqqip6eHJUuW8POf/5yvfe1r3H777bz++uts376da665hvPPP39QP3bu3MnatWtxuVyUlJRw/fXX88knn/Dcc8/x8ccfEwqFmDNnDnPnzj2q35MQQoiTR6tz6Krr/cVqWamqiqIofVXXDb4u9Pnx/w6ZSkswe9uB0ZVc2Nfm5p26dr5/1nR0n3MrnOMh0R4+CLyiqmopMAvYAdwGrFFVtRhY0/s7iqLMBC4DyoBzgIcURRlfOySOwuTJk6mqqgJg7ty51NfXU1tby5e+9CUqKip48skn2bZtW1/7pUuXoigKFRUV5OTkUFFRgUajoaysjPr6egAMBgPnnHMOABUVFSxevBi9Xk9FRUVfmyN99atfxWg0kpmZSXZ2Nq2trbz77rtccMEFmM1mkpOTWbp06TH9LoQQQnyxjVR1PaYww4IvGKHNHR3hihUHNQYcGIbIsTIUFaHXhDFoQqOaCnzigwPotQqXzRt/+wLGM+KIlaIoNuA0YDmAqqoBIKAoygXAkt5mjwPrgFuBC4C/qqrqB/YrirIHmAfE30wvAYmMLB0rRuPh4VCtVovX62X58uX84x//YNasWTz22GOsW7duUHuNRjPgWo1GQygUAkCv1/cVNuvfrn+bkfoRCoVQVfXovKQQQggBtLl8wyauxxSkH65llZ1s6tvOxuh3DCoOGqPodBiKp2EOORKeCuzxh3h2UxP/pyJvxOnJ8SKREaspQBvwv4qifKwoyiOKoliBHFVVWwB6f2b3tp8INPa7vqn32BeGy+UiLy+PYDDIk08+OWb9OPXUU/nnP/+Jz+fD7Xbz0ksvjVlfhBBCnPhanf5hE9djjiy5EKu6bgi50OfmDnmdqaQUk6sl4SKh/9jSjMsXOiGS1mMSCax0wBzgd6qqzgZ66J32G0K8GvODhlYURblOUZSNiqJsbGsbvOfQeHbXXXcxf/58zjrrLEpLS8esHzU1NZx//vnMmjWLZcuWUV1dTUpKypj1RwghxIkrElFpcw9fdT1mYqoZRYGGjmiAFKu6bk23ouiHLt5pLJmOqbsZV4eXSGT4WRdVVXli/QFm5tmYU5g2ijcZW4kkrzcBTaqqftj7+7NEA6tWRVHyVFVtURQlD7D3a99/gjUfOHjkTVVVfRh4GKC6unpczmkVFRVRW1vb9/stt9zS9/n6668f1P6xxx4b8tr+59xud9/nlStXDrhH7NySJUtYsmRJ3DZH9mnlypV4PB5OO+00vv/974/4XkIIIcSRYlXXE8mxMum15NpMA0asDBEPxvwJw19XUoLJ9w6RCLi7fNgyzEO23VDfxc5DLn5+UcW43RcwnhFHrFRVPQQ0KopS0nvoDGA7sBq4pvfYNcALvZ9XA5cpimJUFGUyUAx8dFR7Lfpcd911VFVVMWfOHC666CLmzJkz1l0SQghxAkqkhlV//WtZebr9GPwO9AXx86tijCUlmL0dwMi1rB5fX0+KWc/5s06sbKJEt7S5GXhSURQDsA/4JtGg7G+Kovwb0ABcDKCq6jZFUf5GNPgKATeqqhqOf1vxeT311FNj3QUhhBBfAG2ukauu91eYbuHdumj5hJ4uH0ZPJ4YhEtdjdOnpJFkiQG8tq5L4U3x2p49Xaw+xfGERZsOJVVggocBKVdUtQHWcU2cM0f4e4J7P0S8hhBBCHEexEatEpgIhGlgdcvrwBcP0dPlICXSjzx951iRlSi6KGhk2gf2pjxoIqypXnnLiJK3HjP9KW0IIIYQ45lp79wnMSkpsKjC2MrCxowevJ4zR7xxyO5v+LKXTMfk6cdh74p4PhiM89WEDi6dnUZRpjdtmKPYDTtxdo9su52iTwEoIIYQQ2F0+0q0GDLrEQoPCjGhgta/ZGa26Hhi6hlV/xpISTN42HAedcc+/s9tOrns7V88bPhE+njef2Mkbj20f9XVHkwRWQgghhEi4hlVMbMSqqTm6mt2EF21GxojXGaeXYPa14+zwxz3v+uBxVhv/k9NfPgPW/RxcrQn1x+sO0NHkJrVNAqtxq76+nvLy8kHHlyxZwsaNG0d9v8cee4ybbrrpaHRNCCHEScjhCX6m60KBMKHA8OvI7AlWXY/JsBqwGLTY7dGVgdZUY0JlEYxTJmMOdOEPKvi9R+w2Egkzt/ExmnWFKLkVsO5n8EAZPPctaNwAw+w40vTpIQCyNO0Jv8OxIIGVEEIIcQL4pLGb2Xe9xraDjlFf+/Ifann9f4cfybE7/eSMYsRKURQK0y10d0ZzmpKyEytQrej1JKdE184dubWNc/Nz5EcOsnX6jXDls3DzZqj5Fux+FR49E/54Omx5GkKDR7vq39qJNuRj0tKFCb/DsSCB1QhCoRDXXHMNlZWVfP3rX8fj8Qw4f/3111NdXU1ZWRl33HFH3/ENGzawcOFCZs2axbx583C5XAOue+mll1iwYAHt7e0sX76c66+/ntNPP50pU6bw1ltvsWLFCmbMmMHy5ctHfFZRURF33HEHc+bMoaKigp07dx6bL0MIIcSY+WBfBxEVtjR2j+q6SETlYF0XrfuGDsjCfVXXEx+xgmgtK2+3H9QISfmZCV+XVpAKHBFYqSrqO79ibySP3PkXR49lTIVz74XvbYf/cx8EPPCPb8P9M2HNXeBo7ru8+YCXNG8D2qqyUb3D0ZZoHasx9c7fdtPe6B654ShkFiTxpUumj9hu165dPProoyxatIgVK1bw0EMPDTh/zz33kJ6eTjgc5owzzuDTTz+ltLSUSy+9lGeeeYaamhqcTidm8+HqsqtWreL+++/nX//6F2lp0RoeXV1dvPnmm6xevZqlS5fy3nvv8cgjj1BTU8OWLVuoqqqK+6zKysro+2RmsnnzZh566CHuu+8+HnnkkaP4bQkhhBhrW5ujgVFd6+j+HnYf8hAKRAgFAvg9QYyWwVvOdPT4CUdUshPYzqa/wnQL7S47+mAAU0HiyeZp0/NhM3Q3dMLs3q2G97xBimMnv9TcwMr8I+pbGZNh3rXR0at96+Cjh+GdX8G7D8CM83BMuoYekglb13P3hp9xz6ljV/FJRqxGUFBQwKJFiwC48soreffddwec/9vf/sacOXOYPXs227ZtY/v27ezatYu8vDxqamoAsNls6HTRGHbt2rX8/Oc/56WXXuoLqgCWLl2KoihUVFSQk5NDRUUFGo2GsrIy6uvrh3xWzLJlywCYO3duX3shhBBfHLW9gdUe++gCq7aGw6vvug554rax95ZayE4e3YhVYboFWyCE0e9AX1Aw8gW9ksuK0QV76NpnP3zwnV/RqmTSVnQ+Ou0Q4YmiwNTT4RtPw//dAgtuILTvLf712KMAbJjwKbPTZcRqRImMLB0rRybi9f99//793HfffWzYsIG0tDSWL1+Oz+dDVdUhE/imTJnCvn372L17N9XVh2uuGo3R/5eg0Wj6Psd+D4VCQz7ryOu1Wi2h0BHJgEIIIU5oTl+Q+g4PigJ1dtfIF/Rjb3CBAqjQ2dJD7pTBuVB2V6w46OhHrFojYAw40E9ckPB1ppISzL5/4jjUG0AdeB8a1vNQ8BrmT8tN7CZpReyYewV3+HZyxrZydAY3K5UPyf1AhZmXj+o9jiYZsRpBQ0MD69evB+Dpp5/m1FNP7TvndDqxWq2kpKTQ2trKyy+/DEBpaSkHDx5kw4YNALhcrr5gZ9KkSTz//PNcffXVbNu2LeF+DPUsIYQQX3yx0apTJmfQ6vTj8Ca+OrCtwUVOkQ2tXkNnS/yinLHioKNZFQjRHCsjOgwBR0LFQWN0mZlYIi5crt5Vfu/cj8+QzjPhJSyaNnKuli/k44FND/CNl76Bs9OOVldCjs1P7jWrYfEPRvUOR5sEViOYMWMGjz/+OJWVlXR2dnL99df3nZs1axazZ8+mrKyMFStW9E0ZGgwGnnnmGW6++WZmzZrFWWedNWB0qaSkhCeffJKLL76YvXv3JtSPoZ4lhBDiiy8WWH1tdjR4SXQ6MBJRaWt0kz3JRlquha4hAiv7KKuux0ywmdBqDOhUPxrr6KqkJycpeMJGIs1bYM/rrElZRlJSMtNzkoa9bsOhDXz9n1/nT7V/YunUpfxGczN+YxqF1QVQtAimfnlU/TjaToipwLFSVFQ0II8pZt26dX2fH3vssbjX1tTU8MEHHww4tnz58r5VfrNnz+67d/97FBUVUVtbG/f+Qz2rf05VdXX1gP4JIYQ48W1tdjIhxcT8KekA7LG7mDsp/gbG/XW3egj5w2QVJuPrCdKyN/6KwlaXj4xRVF2PUX1hFIIuIkAAACAASURBVEVDWDewvpSqqtzx/h3sdezltImnsbhgMSVpJQPSZGzZVtQOLe7XHybZaONXXaexYGrmkKk0roCLBzY9wN93/52JSRN5+KyHWTBhAe888Usgg8lfHlx3cixIYCWEEEKMc7XNDsonppCfZsGo0yS8MrCtIZqPlT0pmZ5uP3UbWgn4QhhMA//8250+skZRwyqmxxEd6XLrBgZDrx14jVV7VlGQXMBvt/yW3275LbnWXBbnL2Zx/mLm5c0jbUo2dEDH5lrCZ1zNvvU6rp0av3L7mw1vcs8H99Dua+fqmVdzY9WNWPQWwk4nh9o1mHMCpOaObsTsWJHASgghhBjHnL4g+9t7WDZ7IlqNwtSsJPa0JRhYHXCh02tIy7XgsEcDj+5WD9mTbAPa2V2jr2EF0NMZrUNl12gP9zfg5N6P7mVG+gye+upTdPu7ebvpbd5qfIvVe1fzzK5nMOvMLA3PJ52vcdBXwIaUZcAhFk0dmF/V7m3nvz78L1478BrFacU8+OUHKc88PDLlfONNumzTmDQtOaGq78eDBFZCCCHEOLatOVouoTw/upqvOCeJjfVdCV1rb3CSkZ+ERqshLS+6t19nS8+gwKrV6aM0N3nwDVQ1umKvYD5oB4cMzobo9jH7NXp8wTAmvZb/3vTfdPo6+e0Zv0Wn0ZFpzmRZ8TKWFS/DH/bzUctHvNX0Fu/vWctX1fP5IDKRZw/cSWZ+KT1MQVVLAXhh7wv8csMv8Ya83FR1EyvKV6DXDqzB1fTqeoKGr1A4f3JC38fxMK4Dq+HKFojRUYfZX0kIIcT4FUtcr5jYG1hlJ/HCloP0+ENYjUP/GVcjKu2NbkpPyaX5e99HNZjQaM8clMAejqi0ufzxa1htfRae/xaccgOc81+DTrsOdoIaodmcRFOXF6e6m7/v/jtXz7yasozB9aSMWiNfyv8SX8r/EmqXmz8FOklVCnH7t0Hyv7jkxX+Ra80ly5zF1vatzM6ezcoFK5mSOmXQvcLd3Rzc74EpkF+aPux3eDyN28DKZDLR0dFBRkaGBFefk6qqdHR0YDKNfphXCCHE2Nra7CAvxURm74q9adnRkaW9bW4q81OHvK7b7iHoD5M50YLr3jUoBgOpS8+ns2VgkdCOHj8RdYgaVrXPRX9+8BBkz4Q5Vw043dPuxhD0c9Cazr72bv5n90+ZYJ3AjVU3Dv9SPe0omx8nWTMNX9CGa98N3LWskKS0PaxrXEdddx3/b/7/45KSS9Ao8RPqXWvW0JUyDVuKluT08fP3bdwGVvn5+TQ1NdHW1jbWXflCMJlM5Ofnj3U3hBBCjFIscT2muLccQV3r8IGV/UA0cd3mPYjL70f1+0mxhuk4YsTKPlQNK2837F0D878Nbbvgxf+AjGkw6XAh0J5uP4aAg7bMNJ7f+xf2OfbxP2f8Dxa9ZfiX+vD3EPRiy7LSbbeQFPBwdmkxObYKvlb8tRG/E4Dul1+lO+1rlFbmJNT+eBm3gZVer2fy5PEzZyqEEEIcby5fkH3tPVw4+3DxzUnpFvRahboRalm1NbjQ6jXo92zqO2b1t7G/PZlQIIzOEE04b3VG6yxmH7kqcNe/IByAioujmyE/ciY8cyVctxZSCwHweFVMih9jUjfrO5/hnKJzOC3/tOFfyueM7vU34zxSuiYQ7A5zmrJvVMnzoa4uDtUeJFxlHFfTgCAFQoUQQohxa9vBaOJ6Rb8RK51Ww5TMJPaMsLVNW4OLzPwkfBs2YCwpQZebi/nQblChq/XwdKDdFR2xGhTYbFsFKQUwcS6Y0+Abf4VwEJ6+HPzRoM4X0mM2qlgm/AMFA7fOu3Xkl9r4J/A54NTvYZuWB8B8vCNf14/r9dfpsk0DYGLJ0KN2Y0ECKyGEEGKciiWu958KBJiWkzTsiJUaUWlrdJE50Yr344+xzJ+HZc4c9Ds+BBiQwB4bsRpQx8rTCXvfhLILoxsfA2QWw8V/Avs2+Me3iQRD+BUTQYObgL6O5J4LyTSPsB1N0Afr/wemnA4T59BmNQOQ6x1lYPXKK3TnVZKRn4Q5yTCqa481CayEEEKIcWprs4Ncm2lQ8c7i7CQaOj34guG413XbPQR9YVKVLlS/H+u8eZir52Jo2omiMGDPwFannwyrAb22X0iw8yWIhKBs2cAbTzsTzroLdvwT94v3gaJhn7qPTF0pHYdmjbwCfctfoMcOX/o+AJ90RUfOtL15XokIdXbi/Ggz3ZZC8ktGrj5/vElgJYQQQoxTW49IXI8pzk5GVaMrA+OJVVy3HtoBioKluhrL3Llo1DDJljBd/VYGtrl8gxPXt62C1EkwYfbgmy+4EaquwLkuumKw3dLJeRNuxhNQ6egJDP0y4RC89yDk10DRqQC839gJkQBuN6jh+EHikVyvvY4jaRIRVUN+qQRWQgghhEiA2x9if3vPgPyqmNjKwKE2Y7Y3uNDqNOi2voexpARtairG4mI0NhtJwc5BI1YDSi30dMC+dVD2tcPTgP0pCpz3ANv00TpVM6ZOZXZeCQANnZ7B7WNqn4PuhuholaLgDYT5uKEbjSGCV59K4EDDCN9IlPOVV3BOno+iUZgwbXzlV4EEVkIIIcS4tK3ZgapCRb5t0LmiDCtajTLknoFtB1xkTLTg/3gzlnk1ACgaDZbZszG37cHR5iUcjADRHKsBKwJ3/hPUMJQvi3drADxqmE/90X59tW0Nk03RQK1xqMAqEoF374fsMij+CgAbD3QSCEdIzjbjM2fi371r+C8ECLW34/noIxy5leQUJWMwj7/iBhJYCSGEEOPQ1iES1wEMOg2TMizUxVkZGEtcT7f4+/KrYsxz52Js3oEaUem2ewhHVNrdR+wTuG0VpE+B3Moh+/a7T36HvscAaoR05QCTXr8OA0EaOoYIrHa/DG074dT/AE009HhvTwc6jULB9Fy8pgy8O3aO+J04X3uNkGKg02dh4jjMrwIJrIQQQohxqbbZQY7NGH+rGaIJ7PFWBjravAR9YZJcDX35VTGW6rlYew4B0QT2Dne06npfjpW7Dfa/HU1aH2LXkx0dO3hi+xNkqnkYI160F/0PmuYN3G95jIaOnsEXqCq88ytIK4pOL/Zav7ed2YWpZEywoWp0OHY1jviduF5+BfeMU1FVxmXiOkhgJYQQQoxLW5sdcfOrYoqzkznQ4cEfGpj0bW+I1r4y792EsbQUberhPCRTeTnWcDeg0tXSQ2us6npsKnDHalAjAwKg/sKRMCvXryTVmIpeTcGkDUTbLr6V8yJrKW98cvBF+9+G5k2w6P/2beTs8AbZ2uxg4dRMUjKjJRe6GzuH/T6CdjuejRtxl5yGVqchd+rQ381YksBKCCGEGGfc/hD72nviTgPGFOckEY6o1LcPnH5rO+BCq1PQfbwOa29+VYzGYMBaXool7KSzxYPdFa1h1TcVuG0VZBRDzuANlAGe2vkU2zu2c1vNrfjDBsyxwbTFt/FJ8mKudD0Ce94YeNE7v4KkXJh1ed+hD/d1EFFh4dQMbFnRm7h6IOx0Dvm+rldfA1WlXZNL7tQUdHrtkG3HkgRWQgghxDiz/aAzmrg+TGA1LTv+ysC2BhdpaQqKz4ulX35VjGXOXCzdDXQddPWNWOXYjOBqhfp3o0nrcaYBW9wt/Obj3/CliV/ijJR5+PU2rCn66EmNhnfK72JXpAD179+E9rro8aZNsP8tWHgT6A9Pab6/twOTXkNVYSpJ6SYUBXymTPy7dw/5vs5XXoGSSjrbguOyzEKMBFZCCCHEOBNLXB8usJqalYSiMCCBXY2otDW4SAl3RPOr5s4ddJ2lei6Wnha67V5au70oCmQmGaPTgKhxpwFVVeXuD+8G4PZTbifQ2ERAn4Q1I6mvzYSsDK4NfI+IRg9PXQreruhKQFMqzF0+4H7v722npigdo06LVqshKUWP15yJb1f8lYHB1la8mzbhO+U8YPzmV4EEVkIIIcS4U9vsIDvZOLhwZz8mvZbCdMuABHZHm5eAL4y1deeg/KoYc1UVVs8hIhHotHsOV12vfR6ySiF7xqBrXjvwGm83vc2NVTcyIWkCzj1NoGhInnD4/oXpFprJ4pNFv43Wq3piGex8EeZ/G4zJfe3aXH52t7pZOPXw9je2HCu+pBz8O+MHVq5XXwWgM7UUvUlL9qTkuO3GAwmshBBCiHFmpMT1mOLsJPb0q2UVq7hu2v7+oPyqGK3NRlpmNFm9p80bXXXoPAgN6wdvYQM4A07u/eheZqTP4IoZV0SPNbQDYCvM7mtXmG4BoFY7E867Hw5uBr0V5v/7gPu9vzd67aJpGX3HUjLNeC1Z+IaoZeX818sYS0tpaQkxsTgVjXb8hi/jt2dCCCHESajHH2Jvm3vYxPWYadnJ7Gt3EwpHi33aG1xoNGDpPhA3vyomq7wQgEiXn2ybEbbHpgEvHNT2vzf9N52+TlYuXIlOE13V5z7UDUBSzuHipVnJRkx6TbSW1Zyr4dxfRAMsS/qA+63f24HNpKNswuH3s2WZCShmevY0oEYiA9oHDx7Eu2ULui+fh8PuHbf1q2IksBJCCCHGke0tIyeuxxRnJxEMqxzorXje1uAixehFQyRuflWMbd5sTL4ObJ0ucpJNsO35aFX0rJK+NhE1wuPbHufvu//OVTOuYmbGzL5zPb31qqwphyu2K4pCYbrl8LY28/8dZl026Nnv7W3nlCkZaDWHE+RtvSUXvFgINgzc2sb56mvRn5OjgWJ+6cBAbbyRwEoIIYQYR7Y29Sau5ycQWPXuGVjX6kZVVdobXSS7GobMr4oxz40WCk31R5hq7IbGD6H8cNJ6i7uFa1+7lvs23seSgiXcUHXDgOt7XGFAxZysH3B8QGAVR2Onh8ZOLwunZgw4npLVG1iZM/HtGrgy0PnKy5hmzuRQhxZTkp6MCdahv5BxQAIrIYQQYhypbXaQlWwcuM3MEKZmxUouuHC2e/F7QlgOfDJkflWMPicHq+LCqLEw2/129GDZMlRV5cV9L3LR6ovY2r6Vny78Kb8+/ddY9Ja+a9VQCG9Ag0kbGpTrVJBuobHTg6qqcZ+7fm8HAAunZQ443jdiZc7Cv+vw1jaBpmZ8n3xK0jnn0LSzi/ySNBRN/Irw48X4271QCCGEOIklmrgOYDXqmJhqps7uxn4gmrie3LUPy7yLR7zWnGWGsI6cpo8gtxJHUiZ3v/1DXql/haqsKn526s8osBUMui54qJWAPhmzZXCAU5huoScQprMnQEaScdD59/a2k5lkpDg7acBxo0WHwawjkD15wIiV69VXAFDnfZmezQfGfX4VyIiVEEIIMW54AoknrscU5yRR1+qmrcGFRolg9bQMm18VoxZkAeBr9LJ+8nyWrV7GGwfe4ObZN/O/5/xv3KAKINjUiN+QgjXFMOhcbGVgvOlAVVV5f28HC6dmoBxRgFRRFGyZJvwpE/H3q2XlfPkVTOXl2B3RIG0816+KkcBKCCGEGCe2H3QSSTBxPWZaVhJ726IjVsnhTswlxcPmV8V0TZkEwLuBYq479CpWvZW/fPUvXFd5Xd/qv3iCTU34jSkkZQ2uJTVcYLXH7qbN5R9QZqG/lEwzHn0qwaYmwm43gcZGfLW12M49l6ZdXSSlGUnJNo/4XmNNAishhBBinEik4vqRinOS8Acj2A84sbbVjZhfFfOp1Y0+0IXXV8DlpZfzzHnPUJYRf4/A/nwNTQT1SSTlDu5jflo0sGqME1i9H8uvmpo56BxE86x6ggZUFPy7d0e3sAGSv3I2zbu6o/lVcbbaGW8ksBJCCCHGia3NDjKTjNG9+xI0LTuZlIhC0BcmuXv/sPWrAMKRMI9sfYR/tv8INXKI5MgEfjT/R5h1iY0GuRvbQdFgTRvc3mzQkp1sjDti9d6edgrSzRSkWwadg2gtq0gE/MYU/Lt24Xz5ZUyzKnGoKfh6xvf+gP1JYCWEEEKME7XNDiom2kY1MjMtO4mccLR9srtx2PyqJlcT33z1mzy4+UFKA5kUKgfwGLMJHGpN+Hnu1uiomjU1fvAXr+RCOKLywb4OFk6JP1oFYMuMroL0ZxTifO01/Nt3YDvnXJp3dQEwsWR816+KkcBKCCGEGAc8gRB77O5RTQMCpJj1TNUZQA2Tnp8cN79KVVVW1a3iotUXUddVx89O/Rl3H+rAlNxDWGuk/f2PE36eu9MLEDd5HaKBVWNvm5jtB504fSEWDpFfBYdLLoQKZ+JZ/0H02DlfoWlnF6k5FpLSEh/FG0sJBVaKotQrirJVUZQtiqJs7D2WrijK64qi1PX+TOvX/keKouxRFGWXoihfOVadF0IIIb4odrREE9dHsyIwpiCiIcl9ENu8waNVqqpyx/t38JP3f0JZZhnPn/88S1NnUhzeR0d+dOWfffO+hJ4T8XjwBqKhQ/+q6wP6km7hoMNLIHR4a5r3evcHXDB16MAqOd2EooA/azIA5tmz0WTncLCu+4RYDRgzmhGr01VVrVJVtbr399uANaqqFgNren9HUZSZwGVAGXAO8JCiKNqj2GchhBDiC2c0Fdf7U1WVFE8Ym+sA5prBiet/3fVXVu1Zxb+V/xuPnP0IeUl5hLc+B0DH1AXRn/vbE3pWoKmJgMGGEqfqekxhugVVhaauw9OB7+/toDg7Kbrh8xC0Og1JaSa8lmgZCNu559B2wEXQHz4h6lfFfJ6pwAuAx3s/Pw5c2O/4X1VV9auquh/YAwyfSSeEEEKc5LY2O8lMMpCbQMX1/lwdPohoSHI14iwuH3jPtq38YsMvWJy/mO/M+Q4aJfpnP1K7io2R6VgnFmHUhnC4NYTd7hGfFWxqxm9MwWTRDKq6HlOYMbDkQiAUYcP+ThZNGzq/KsaWZcKrTyX53HOwLV1K085O4MSoXxWTaGClAq8pirJJUZTreo/lqKraAtD7M7v3+ESgsd+1Tb3HBlAU5TpFUTYqirKxra3ts/VeCCGE+IKobXZQPjFl1CUFYhXXnaqXPb7Df9Ydfge3vHUL2eZs7jn1nr6girbd6Nu381J4PtnJRtIyDfRYcvF+vGXEZwWbmggYUrGmDh38xWpZxUoubGnsxhsMDzsNGGPLNONyhMh/4AF0aWk07eoisyAJU1L80bHxKNHAapGqqnOAc4EbFUU5bZi28f5FDNo0SFXVh1VVrVZVtTorKyvBbgghhBBfPN5AmDq7a9SJ6wD2/V0okRC7rEnssUdHnSJqhB+/+2PsXjv3Lb6PFGO/+25bhYrCv8LzybGZyJiaiceaS8+mTSM+K9DUiN+UijUjfskEgKwkI0adpm/E6r097WgUOGVKYoGV1xUk4AsRCoQ5tNd5Qo1WQYKBlaqqB3t/2oFVRKf2WhVFyQPo/Wnvbd4E9K+Dnw8cPFodFkIIIb5otn+OxPXW7Yew9hykPr+YutZoYPWn2j/xdtPb/KD6B1RkVQy8YNsq2tJm00p6NLAqTCWks9C9efuIzwo2NRMwpQ5ZagFAo1EGlFxYv7eD8okppJhHHnVKyYquDHR1+GjZ5yAcipxQ+VWQQGClKIpVUZTk2GfgbKAWWA1c09vsGuCF3s+rgcsURTEqijIZKAY+OtodF0IIIb4oaj9DxXWIJq63t/pJdjcSmFlJnd3FhkMb+M3Hv+ErRV/hG6XfGHiBfQe07aA27QwUBTKTDKTlWQHoqO9EDQSGfZ6/sZmA1orVFr/UQkw0sPLiCYT4uLEroWlAOFxywdHmpWlnFxqNwoTikbfnGU8SGbHKAd5VFOUTogHSS6qqvgLcC5ylKEodcFbv76iqug34G7AdeAW4UVXV8LHovBBCCPFFsLXZQYbVQF7K6BPXA2Ed6dYABZPyqOs4yA/f/iGFyYX8dOFPB+drbVsFKKw3LiLDakSn1ZDeG1i59Zl4t20b8lmqquK2O4Ghi4PGFKRbaOz0sKG+i2BYZdEQ29gcKaU3sHK2e2ne1UV2kQ2Daeh9C8ejEXurquo+YFac4x3AGUNccw9wz+funRBCCHES+KyJ6617o6vmcqZnMTXbTCjjL7gCLv5w1h+w6q0DG6tqNLAqOpW93iRybD4AzMl6jGYtPdZcvJs2YZk9O+6zwp2d+CPRkaqhaljFFKZbcPtDvPTpQfRaheqixKbzjFYdBpOW9kY39nonc88tSui68UQqrwshhBBjyBcMU/cZKq4DHNq8HyUSJm9hGdt9z6Kz7uPSyd9letr0wY1bt0H7bii7kFanj+zkaHCkKArpE5Pwphfh2bR5yGcFm5rw9ybBW4aouh4TWxn4z09amF2YhsWQ2KiToijYsszs/diOqp5YZRZiJLASQgghxtD2FifhiPrZEtf3dmL1tFBbEOTlxr8Q6K4mk0XxG29bBYoGZlyA3eUnp1+9rLQ8K25zLj2bN6NGInEvDzQ14TdE+zjSVGCslpU3GGZhgvlVMbZMM6FABK1eQ84U26iuHQ8ksBJCCCHGUF/i+meouN7p0mHTdHPbJ3czPW06RsfXqbPHKfTZNw34JULmDNrdfrL7BVbpuVaCqh6/J0xg7964zws2NhEwpKAoYE4efsSqIO1wOYaFCeZXxcQS2POmpqDTn3gbt0hgJYQQQoyhrU0O0q0GJowycd15yElQMdFmOkAoEuL+JfczPSuNPa1xAqtDn0LnXihfRrs7gKrSNxUI9CWw91jz8AxRzyrY3ETAlo3ZZkCjGT4XzGzQkpVsxKzXUlUwulV9KZnR7yG/9MSbBoQEkteFEEIIcexs/YyJ683vRlfwfZK2gzsX3skk2ySKcxy8urUZ1d2G4u0CTwd4O2Hr30HRQulS7F3RpPUjpwIBvNnT8GzaTNpllw16XqCxiWDy4hET12MqJ6Zg0msx6EY3hpNVaEOjUZhUPrqRrvFCAishhBBijMQS18+YkT1yY1WFfeug+wB4OtmxtgfUU5gy2cvZb/wSPLex0tnGPREXyn2DNjyB0vPAmkHrgVYAcmyHAyRrqgGDSYu/oAzPpifjPj7Y1IR/eirpI+RXxfz+qrmocboxkpzJNr71wGnojSfeNCBIYCWEEEKMmR29iesJrQj86I/w8g8AOKDT0eX+KUZNC9cRAIMNUvJpz7Dw7A4P5y+oYHJBAVjSe//LgOQJALQ6oyNW2cmHR6wURSEtz0pPxwRCB1sIHjyIfsKEvvNqKESwpQV/iWXEFYEx+iE2aU7o2hM0qAIJrIQQQogxE0tcH3FFoKsV3rwLpizBd979/HDN9/jy/gJybG70336vr5nG4eWBrW+Snl7G5MqiuLeyu/x9Vdf7S8+zUt+bn+XZtJmUfoFV8NAhIhEVf1iX8FTgyUqS14UQQogxsrXZQZpFz8RU8/ANX/9PCPng//yK/9r5Zwy1nYT0yUwszRvQLNdmIsmoi78ysJfd6SMzKVp1vb+0PCteT4SwLRPP5oEJ7MGmJgKGaOkDa4IjVicrCayEEEKIMbK12Tly4nr9u/DpM7DwO7zQvY3n655nqWcxABMXlAxoqigK07KT2DNMYNW/OGh/sZWBocpT8W4cGFgFGhvxG6Kr+2TEangSWAkhhBBjwBcMU9fqGj6/KhyEl26B1EL2zbqIuz+4m3m580jpzERRI2SX5g66pDg7afgRqyOKg8ak5UVrT/knV+KvqyPscPSdCzY1EzD3BlYJJq+frCSwEkIIIcbAzkMuQiMlrn/wO2jbQeSce1m54V6MOiP3zr+TLrcem8GHzjA4ybs4J4k2l59uTyDuLVud/gErAmOS00zoDBo8tnwAPJsPb28TbGwklFUIjLydzclOAishhBBiDGwdKXHd0Qzr7oXp5/J33Hxs/5gfVP8A864mnNZ8Mida4l5WnJ0MEHc6MBSO0NHjJyt58IiVolFIy7XiCllBr8fbL7AKNDcRTJuQUNX1k50EVkIIIcQYqG1ykGrRk582ROL6qz8GNUzrkh/wwOYHOCXvFM6fej4d720haEgmb1ZB3MumZScBxJ0OjFVdjzdiBdE8qy67F3NZGZ5+eVbBpmaCSZlYEqi6frKTwEoIIYQYA1ubHVQMlbi+Zw1s/wfqqd/nnp2PE46E+ckpP0FRFA5tbQQgpyR+UdGJqWbMei11cba2idWwyokzYgXRPCt3lx/9nBq8tbVEfD4iPT2EOzrw622SX5UACayEEEKI48wXDLO71RV/GjDkh3/9ANKn8kZhOWsb13JD1Q0U2AqI+P2020OASkZ+Utx7azTRlYF1dtegc33FQYcZsQLwT66CYBDf1q0EmpujfVbMWGRF4IgksBJCCCGOs13DJa6/92vo3Ivj7J/ys42/ZEb6DK6aeRUA3k8+wWWZSGqKgj5O4nrMUCUX7C4/QNxVgdBvz8C0SQB4Nm0i2NQEgC+olRpWCZDASgghhDjOYonrgwKrrnp45z6YeQEPdG6iy9fFyoUr0WmiG6X0fLgBZ3IB2dMyhr3/tOwkWhw+XL7ggON2pw+NAhnW+AGSLdOMVqeh26FiLI5uyBxsaiKiaPF5VZkKTIAEVkIIIcRxVtvsIMUcJ3H95dtA0bJh7jd4ru45rpp5FTMzZvad7txYS9BgI2da+rD3L+5NYD9y1KrV6ScjTtX1GI1GITXXQldLD+a5c/F+/DGB+gOEUnIAsNhkxGokElgJIYQQx1ncxPVdL8Pul/Gf9n3u/PQh8pPyuaHqhr7TEb+ftnonAFmFtmHvX5wTLblw5MpAu8s35IrAmPQ8K50tPVjmziXiduNat5bwxKmAFAdNhARWQgghxHHkD8VJXA944OUfQlYpf7BoqXfW858L/hOz7vCIluu113Ca86IbKBfET1yPKUgzY9Bp4o5YDbUiMCY9z4Krw4e+YjYAoYMthHKKANnOJhESWAkhhBDH0a5DLoLhIxLX370fuhvYddp3+d9tj3P+1PNZOGFh3+lgczOH7ryLngllpOVahk1cB9BpNUzJtFLXOnBloN3lG3JFYEwsgd2t2NDlRTd5DqZGt875/+zdd3Qc1fXAxO2d8wAAIABJREFU8e9s11b1Xi1bcpUtN3DBmN5bKKEECAmE/EICSQgtAUICIT2hhBZIIECAUEIPIRRXbNzU3CVLVq+70va+O78/VpItq62wjQ28zzk+lmbmzc4K+ezlvfvuFVXXxycCK0EQBOGo8Mu3d3DHv7dOeJyjx8tzd66jr9Mz4bH1PW52dw4vSzAeOSrTWGMlEolOeOywxHVbPXzyIJGZF/OL5rcxa83cMv+Wfa8VDtN2y63I0SjupEmkFYy9DDhgSoZpyFJgKBLF5gmSPu6MVSyw6utfDgQI6ZORFJKouh4HEVgJgiAIR1w4EuWVLS28Xd1OJCpPaGx9ZQ9Oq5/GrbYJv+7NL1dz8ePraLP7JjSuabuNdx+tYcObDRN+zYHE9bzkBJBl+M9PQKXjxeJ5bLVu5bYFt5GoSxy83vrY4/gqKrDcfg8+T4S0fFNcrzMl3Uhrnw9vMBy7jzvQX3V97MDKnJaAQinR2+FFPz8WWPnVZlF1PU4isBIEQRCOuOpWBy5/GHcgPGL9pbG07OgFoGuvY0Lj/KEI29ocOP1hfvRS1YQCuo762GtV/q958PXjetZeL+/WdDC/ICmWuL7jDaj/mPalP+ChHU+zNGcpZxSdMXi9d/NmrI89huW8c9kjlwCQPTlxtNsPMbAzsL47NpPX5YzVsEo3jb0UqFQqSMzQ09vhwXTqqVguuICg2ixqWMVJBFaCIAjCEbemrmfw64rmvrjHhYIROvbEgpzOBueEXrOm1UE4KnN2WRYbG3v5y8d74h7b1eAgOdtAUpaBD5/Zgc8VHHdMIBzhhhcqkIGfnzMDAi7470+RM2dyrz8283XXsXcN7hSMOBy03XIr6txc3OfeQM3HrZSdmBv/jFVGf8mFnthSZ/dAO5txZqwAkjIN9HV6UCUnk/3r+/F6oqLqepxEYCUIgiAccWvqrMzOtZBs0FDRFH9g1VFnJxKOUjAzBY89gKvXH/fYgQDunnNncP6cbB78qJbNjePPPkUjUboaneSUJHHqt2cQ8Ib56B87keWxZ7zue2cnNa0O/nDxbPJT9LDqt+Bq5715l7K2/RNuLL+RbGM2ALIs03HX3YR7ejDe9RtWvrKXjCIzi782Oe73V5BiQKWQBnsGdg1WXR8/QErO0uPs8REORQDwOAKi1EKcRGAlCIIgHFEOX4iqFjvLStIoz0ukssUe99jmnb0oVQrKT80HoGtv/LNWFU19FKToSTVquff8meQm6bnppSoc3tCY42xtHsLBKJmTzKTmGll84WSattmo+bh11DFvVbfz3KdNXHdcEafNyITunfDpY9hnX8pvG15lVuosLpt62eD19ldewfW//5F84w9ZuTKEQilx2nUzUari/9hWKxUUpRoGE9gHq64bxw+QkrIMyDLYu3xEwlH87pBYCoyTCKwEQRCEI2p9vY1IVOa4KWmU5yeyp9s9bnAzoGVHL1mTLWROsqBUK+hsiC/PSpZlKprtzMtPAsCkU/PQZeV0Of389PWtY84+DbxGwrZVhPv6mLU8h8KyVNa9voeeluE7DPd0u7n9tRrmFyRx6+lTYwnr794MWhO/TzLhDDi5Z/E9KBWxEgqB+nq67v81hsWL2K5bhK3NzSnXzMCUPP4S3oGmZOzrGdjtDJBq1KKMIwF9/52BXmdsmVPUsIqPCKwEQRCEI2pNXQ8GjZLy/ETm9gc6Va3jz1p57AF62z3kTU9GqVKQnm+KO4G9tc+H1R2gvCBp8NicvER+fGoJ727t4OXNLaOO7dzrQKeN4vrdPTReeBH+HTs48aqp6AxqPvjbdkKByOC13mCY7/1zCzq1kocvL0etVEDNy9D0CeuO+SZvNb3PNTOvoSQplpgeDQRou/knKBIScH39Nnau62TeGQUUzBy7N+BoJqebaLJ58IcidMVRw2pAYroeSSHR2+HBY48tIYoaVvERgZUgCIJwRK2ps7KoOBW1UkFZXiIKibjyrFp2xvKhcrIUtNzwfdIyVHQ3u4iExq8tNZBfNTd/6A677y4rZsnkFO55a8eouxM7G5wkhbtRWSzIskzT5VcQ+OA/nHLNdPq6vKx9uRaIzYrd+cY26rrdPHjpHLIsCeDuhvfvwJczl1/aPqXQXMj1s68fvHf3H/9IYNcudLfex9p3OsgpTWThOZPGfT+jmZJuJCrDXqsnrqrrA5RqBZa0BPo6PHgcscBKzFjFRwRWgiAIwhHTZPPQ3OtlWUkqAEatipIMU1x5Vi07e0kwa1Cs+y/ujz7C2LmdaFimp3X8gp8VTX3oNUpKM4busFMoJP50yRx0agU3vlhJIBwZct7rDOLs8WForsS4fDlFr71KQnk5HXfcgerlRyg/KZcdn3SwZ0s3/9rUwr8r2rjxxCkcNyUttgT4zo8g4ObR0kW0udu4e9HdaJWxgMW9ahV9zz6H8fKrWFOlR5Og4pRvzTio2lGT+0su1HW76XH5SY9jR+CApMxYyQWvo38pUCSvx0UEVoIgCEe5O/69lWv/sWnC4xw9Xp64aRXdTRMrQ/B5WlNnBYgFHv3K85OobO4jOkZdKTkq07Kzl7xpSbjefQeAhOoVAHTFUXahotnO7NxEVMrhH4MZZh2/v2g2Ozqc/Pa93UPODSw1mrt3Yjx+GarkZPKfepLkb32LvhdeIPPfvyQtJ4GPntvJ71/fztLJqdx40pTY4Jp/wa532LH4uzzb+C4XTrmQBZkLAAh1d9N+x0/RlJayI+MsHN1eTr12xkHPEhWlGlBIsLPDidUdHLeG1f6Ssww4un04bf5Y1XWj+qCe5atCBFaCIAhHuRW7ullXbxsz0BhJ664+woEIbbXx77L7vK2p6yE3KYHCFP3gsbn5ibj8Yep7Ri8Uam1z43OFyEwMEqitRZ2djVy5DqNFTec4eVa+YISdHU7mFoxeaPPk6RlcvaiAv3+ylxW7ugePdzY4kZAxeVoxLFkCgKRSkXHrLeT86Y8Ed+5gyse/JuAPcZZXw58vnh1LFne0wX9upSZvLjf1ridZl8yP5/8YADkapeP224l6vTi/8XP2VFo55rxJ5JQkjfhsE6FTKylIMbCuPlaVPp4aVgOSsgxEozLtdXb0Zg2SqLoeFxFYCYIgHMW6nH46nX68wQitfRNru9LdFFsS622bWCXzz0s4EmXdHhvHTUkbLIoJMLc/obyyefSAcKDaubl2DSiVZP78bohGSUnwjrszsKbVTjgqDybKj+aOM6cxNdPET16pHiyu2dngwBzqxjh7JkqLZcj15jPPpPCll/D7nUzf+RwZAYmG1e0gy8hvfp/n9UquVttRKpT85aS/YNbEev71Pv00nnXrUd1wF5+utFM4K4W5pxaM+WwTMTndyNb+zQDx1LAaMLAzsKfJKUotTIAIrARBEI5i1fvlGu3qnNiSXldj7Hpb+8SbE38eqlvtuAJhjpuSOuR4UYoBS4J6zArsLTt7Sc42EHr/TQxLFmM47jiUaamYbLW4ewODO9lGUtEfsJWPE1jp1EoevqwcTzDMza9UEw5F6G50YOragXHZshHH/LNHzbWLvk9Cukxm56dsfncvdf9+mpvdNfw20cjSnKX86+x/MSNlBgC+rdvo/vMDaE8+k3V7MzFYtJz0zemHdHZoIIEdGLcB8/4SM/UgxVLDRNX1+InAShAE4ShW0+oYrDu0u3P8pOwBoWCE3nYPiv4t8xNdRvw8rK61opBgcfHQUgIKhUR5fuKoM1ahYIT2PXayUsOE2tuxnH02kkKB8fjjSahZCTDmcmBFcx9FqQaSDePPwkzJMHHX2dNZU2flb+/uJhySsTj3Yjx+eGC1pamPX/9nJ0vmFLLopadZtDyRBG8PH//HzM5AMjfP/TEPnfgQFm1spivi9tD2k5tRpqayffJleBwBTrtuJjrDoc1lGmhtAxObsVJrlJhTYoGYSFyPnwisBEEQjmLVrXZKMkzkJSewqyv+wMra7EKOyhTOTiUSiuLo9h7Gp/xs1tT1UJabSKJ+eIBTnpdEbbcLp394odD2OjvRsExS6xYknQ7jiScBYDrhBAzdtSgUo/cNlGWZyuY+yvPja2QMcPnCfE6fkcn/VsdqWyWrnWhLS4dc0+sJ8v0XKshOTOD3F89GUij45PRUKrP+QURp4ZpPr+AiZ8mQJc+u++4j1NJK7zfupXmXkyUXTSGjyBz3c8VrSnps52O8Vdf3N7AcKJYC4ycCK0EQhKOULMtUt9iZk2ehNMM8oRmrgfyqaYuygFgblqPJYBubA5YBB8wtSESWoaZl+MxTy45elCoJzcpXMZ14Akpj/4f/okUo1QoSVa5RC4W29PqwuoPj5lftT5IkfnPhLCahRB10YFlYNiRAikZlfvivKmyeII9eMRe1KsRP1/6UX264l2BhHbOmt9OTVMandz2D7amnkGUZx9vv4HjjDaJX/oiKLUEmz0tn1vKcuJ9pIorTjEgScVdd31/SYGAlZqzipTrSDyAIgiCMrNHmxekPU5abSGuflxW7uwmEI2hVynHHdjU6MSZpyZmaBBL0trthXvrn8NTxWV9vJSrDcSVpI56fnZeIJMWW7ZYeEHy17OwlPVWG3h7MZ58zeFyh16M/9hhMPbtolS1EwtFhvfW2NMeS3icSWAEk6jWUyhJmRwNv5hdw437nHlmxh9W1PfzqgpkkGKxc9u6P2evYyw0ON9elLEBx6ZX0PljBHi4h8dFf4a2oxLthA9LcxWzsm4olXcUJV04dEqwdSgkaJblJCSQmTHzWaWDGSlRdj5+YsRIEQThK1fTv5Jqdm0hppplIVKa+O76Zp+5GJ+mFZtQaJZa0hKMugX11nRWjVsWcvJGX5Mw6NVPSjVQekMDu7ou1sUnu24XCYsG4dMmQ86YTTsDYWkMkFMU2wm7IiiY7Bo2S0kzTsHNj8TqDBHwSJlcTj7uSebOqDYB1e6z8+cNazp+TjSmlmsvevQx7wM5fQ2a+65NRnvsQklLByd+ehdqoY/fxt+FYtRZZoWTHrOsI+sKc/p2ZaHSHd57j6kWFXDw/d8Lj8qYnU1iWSuYky/gXC4AIrARBEI5a1S0OdGoFJRlGpvYHAru7xt8Z6PeEcPT4SC+IjUnJMY4YZBwpsiyzuraHRcUpsd55oyjPS6KyxT6kIfJAGxvD5v9gPu00JM3QmRTj8uVYnHsBRiy7UNHcx+y8xAkviQ3cKyNHy/TJWfzs9W1sbuzlxpcqKUrTYMx5g5998jOmp0zn1fSTObZ1K5z5BzBlxp7XouWkq6dh92npueFxrN99mI4mL8suKyUlxzjWSx8S1x43iasWFU54nMGi5azvlR3yhPovMxFYCYIgHKWqW+3MyLagUiooSjWgVkrsiiPPaqDSenqOHttTT5GcpsHR4yMUjIwz8vPRZPPS2ucbNb9qwNyCROzeEA3WfbNtLTt70WllDLZ6zGefNWyMOisLc1EG2qhnWAK7NxhmV6drwsuAAO01bUjRMLlLpvPApXOQJLj4ifV4op3oCx/jzYZ/c+2sa3mq7EekrXkQpp8PMy8cco/CWamUnZjLjhof1ZvcTFucxbTFWRN+FuHoJgIrQRCEo1AoEmV7u4PZubGlMrVSQXGaMa4E9u7++lUJTVV0/+GP6Dp2gQx9HUfHcuCauh5gaBubkQwEQANlFwba2KQGmlBnZqKfP3/EcaYTlmO21dK5Z+gyYnWLg0hUZl7BZwistndicrdiOWEZuUl6fnthGVrzNgxFf6Ev2M0jJz3CTWX/h+rNGyAhEc76E4yQM7X4gsmkF5hIyzex7NKSCT+HcPSLO7CSJEkpSVKlJEnv9H+fLEnSB5Ik1fX/nbTftXdIkrRHkqTdkiSddjgeXBAE4custsuFPxRldt6+3JbSTBO1cQRWXY0uEjP0hDatA0DXsg04enYGrq6zkpecQMF+bWxGUpxmxKRTDRYKtba68btDmHevwXzWmUiKkT/CTP3Lga6+IF5ncPD4wH0GSy1Eo/DG9+Dps6D2/VglzBFEIlF6HQoSI91oJk0iFAmx1fcs6uznKU2ezCtnv8Ky3GWw+nfQtRXOeQgMKSPeS6lW8LVb53HhbfNQacbfhCB88UxkxuomYOd+398OfCTL8hTgo/7vkSRpOnApMAM4HXhUkiTx2yMIgjABNa2xnJ6BGSuIBVbtDj8O3/DaTgNkWaa70UlGoRnPulhgpaxeh1KtwNZ+5POsQpEon9YPb2MzEoVCYk7evkKhA/lVSbYdWM4+e9RxulmzSJJi1+6fZ1XZ3MekNMO+ulkr74eqf0LPTnjhEnh8KWx9FSLhIffr2dtHBBWZk8x0ebv45vvf5Pmdz3PFtCt45vRnyDJmQesWWPMnmH05TD1zzPelVCpQjpFbJnyxxfVfVpKkXOAs4Kn9Dp8H/KP/638A5+93/CVZlgOyLO8F9gALD83jCoIgfDVUt9ixJKiHzOoMJLDXjlEo1GMP4HUGSTaHCbW0oM7OJrS3gaQ07VHRM7C6JdbGZrz8qgHl+Uns7nTiDoRp3tGLOWLDlJeGdurUUcdICgVZ84uR5Aid9bFZKlmWqWi278uv2voqrP49zL0Kbt4N5z8GkSC89m34y3zY/DSEY21xWlZtB8A/Q80lb1/Cnr49/OH4P3D7wttRK9UQ8sEb340lqp/+64P46QhfBvGGzA8AtwLR/Y5lyLLcAdD/90CBlBygZb/rWvuPDSFJ0nckSdosSdLmnp6eCT+4IAjCl1l1q4OyXMuQWZ3SzFhV7rES2LsbY+dMtloAUr57PQAWje+oWApcXRdrY7OoOL7Aam5+IlEZKht66dhjJ7GtEsvZZ40722U5YRlGVwvtNe1ALGG+19NfGLRtC7x5A+QvhjP/CEo1zLkcvrcBvv58LEfqnR/Cg7Nh3cO0b2tHE7DzI99DpCSk8NLZL3Fa4X5ZLh/fB9ZaOPfh2FjhK23cwEqSpLOBblmWt8R5z5F+24ctXMuy/FdZlufLsjw/LW3sBEZBEISvEl8wQm2Xa8gyIEC2RYdJp2L3GM2YuxqdKBQSmpq1qLKysJx7LqhUGNzteJ1BfO7gqGM/D2vqepidl4glIb7t++V5sRmmmsouohGZ5L6dmM8avhvwQMbFi7G4m7F2h4hGooP5VQtTfPDi5WBMh68/B6r9yjUoFDDtHLhuBVz5BqROoffDu+m2K5Ajezltymm8cNYLFFmK9o1pWgfrH4H534LJJ8X/gxC+tOKZsVoCnCtJUiPwEnCiJEnPA12SJGUB9P/d3X99K5C33/hcoP2QPbEgCMKX3Pb22O612QcUz5QkidIM05g7A7ubnKTkGvBvXI9h8SIUOh266dNJaD3yCewOb4jqFvu4uwH3Z9GrKU4z0FVrRyGHyczXo8nPH3ecwmAgPVNFRFZia/NQ0dxHqjZC8cfXQ9ANl70EhlFmzSQJik+g6ox7ucm8kKA2lSTNbu775AUSPrwXnP0faQE3vPF/kJgPp9wb93sSvtzGDaxkWb5DluVcWZYLiSWlfyzL8jeAt4Cr+y+7Gniz/+u3gEslSdJKklQETAE2HvInFwRB+JKqahmouD682nVJZiywkkfYwSZHY4nrKcYQUacTw+LFAOjL56Devh7ob21zhKzrb2MTb37VgLn5Sei7vCT21ZJ09hlxj8s5ZjIArZsaqGjs42H9U0jtVfC1JyFjxqjjZFnm+R3Pc81/r2FWY6xa+bEXXoo07RzY8Dg8UAZv/QDe+RH0NcXys7SHv8in8MVwMNsSfgOcIklSHXBK//fIsrwdeBnYAfwXuEGW5aOjKp0gCMIXQE2rgyyLjnSzbti5qZkmnP4wnU7/sHP2bi9BfwSTqxGINSUGSCgvR+3qRquVjuiM1eo6KyatathM3Hhmp5gwyWqS+3ZjPuP0Yecj0QgVXRV0ebqGHM88bSmaoJPWLY2cZH2WRb5VcPLPx9y15w66uXnVzfx2029ZmruUmZ45SHKY7JOXw9eegBsrYN7VUP0v2PoyLLoBCpeMej/hq2dCzYlkWV4JrOz/2gaMuKAsy/KvgF8d5LMJgiB8JdW02ikbYbYKoDQjtjNwV6eLLEvCkHODhUF3r0c7fRqq5OTY93PmIAEWrf+ItbaJt43NSLL8Mg5Alwqq1KGzXU3OJu5ceydVPVWxaw1ZzEmbw+z02cxJm0NipJue7mRuzn2FzsLzyFzyw1Ffp7avlptX3kyLq4Ufz/sxV036Oi8+9QJJqT6U6v5nTiqEs/4Iy26F+o9h5tcm9F6EL7/D2/VREARBmBC7N0ijzcslC/JGPD+1f2fg7k4XJ5SmDznX1eRCpVGgXLsa4zVXDx5XZ2aiys7C4GmnNaBHjspIE+yVd7AabV7a7D6+u7x4wmP929vRBBzsKZ7K8f3HonKUF3e9yANbHkCtVHPXsXcRioao6q6isqeS9xrfA+Aa9UloVedyj2Y6CxddzqKAnSTd8Mrrb9W/xb3r78WoMfLUqU8xP3M+9o9W4DLkMrU4Ydj1mDJgzmUTfi/Cl58IrARBEI4iIxUG3Z9FrybTrBsxgb270UmKJYoUDg3mVw3Ql88lYc92QllFuHr9mFNHCBYOo4E2NhPNr5KjMu17vSTad/PSzLl8G2h1tXL3urvZ1LmJ43KO457F95CujwWZV0y7AoBOTydVLatp3PU8kT7w9ORz26e3wKdQaC5kdtps5qTPYVbqLF7c9SKv1b3GgswF/G7Z70hNiD1j+4pKoso55B475dD9IIQvPRFYCYIgHEWq+xPXZ42yFAixCuwHBlaRcBRri5tJCe1IWi0Jc+cOOZ9QXk7Cmn9C1tnY2j2fe2C1utZKfrKeghTDhMZ1N9oJRtUojSGqbCGe3/ESD1f+GUmS+OXiX3L+5PNHrGmVqU3i9LVPEtDV8ZQcocy2mK+fdgtVPVVUd1ezqnUVb9a/OXj9tbOu5YY5N6BSxD4WZVmmY0c3pENWSfLBvXnhK0UEVoIgCEeR6lYHk9IMmHWj13kqzTSxvsFGOBJF1Z+vZGtzEwlH0e+tQD9/PgqtdsiYhPI5GDx/GLy2qGxiM0cHIxSJsr7eyvnlw2pFDyXLsT/79QBseL8GAN3iXDTRv/HbTXUcm3Usv1z8y1grmdHu8/ZN0LoR++l/RX6iD0UogXkps5mfOb//EpkmZxPVPdXkmnKZlzFvyC2CDQ30ysnotRGMScM3EQjCaERgJQiCcJSQZZnqVjvHTR476CnNMBEMR2m0eZicHktm726KzWDp92zA8INvDxujKy1FrZHQK/2fe2ubymY7nmBk/PpVL18Je9dA6ZmxQp3FJ9C8rQejx8f9+sdRRsMsS76ev5xyw9iV19c9DNUvwvKfska9hE7FGlSGXNybKzAtOgaI1QQrtBRSaCkc8RbuVatxWCaRUywqqQsTI7pACoIgHCU6nX56XIFRdwQOKM3ctzNwQFejE606is7fi2Hp8O3/kkpFQlkZRm8ntvbPt+TCmrqe/jY2KaNf1FEDO9+G5CLY/S68dBnt98/AFjLjUu5gcloJyX13EOw7duygavd/4YO7YcYFcPytVDT3UZdoJqLS0f5h/CUVras3EdAlkzU9YwLvVBBEYCUIgnDUGMivKhunztPkdCNKhTQkz6q70Uli1IoqNRVtScmI4xLmlpPQVYu900skHB3xmsNhTZ2VOeO1sfnkAdCY4Mo3kG+u493TfsZfnAuQFSpSE6v4+5b/8nj0SfIbX0V2j9JftmtHrIlyVhmc9yhIEhVNfZgmxXKk2qvb4nreiNtNZ3/pisxJYwe5gnAgEVgJgiAcJapbHagUEtOzzGNep1MrKUzRD85YBf1h+jo8GNq3YVi0aNQZHX15OQZ3K9GoTF+n95A//0js3iA1reO0seltgO2vw4JvYSPCj9bexu21z1FinYkiGuLCG+5EsfA75EeauSv6GPyxBJ45GzY8AY7W2D08NnjxUtAY4NIXQaPHHQhT2+VixpRktKoIvSETgb17x31mz/r1OAz5KBSQlmc6RD8J4atCBFaCIAhHieoWO1OzTOjUynGvLc00UdsVC6ysLS5kGYxdu4aVWdhfwuzZGD0dwOfX2mZdvS3WxqZkjLyxdQ+DQsXawgVc8OYFrG5dzS2l30OWi0nTe1FPWQKn/Yqmb6znrMD91JZcDx4rvHcr/HkGPHkiPHc+uDrh0hfAEkuSr26xE5VhbmEyGUVmnJYi3CtXjfvMntWrcSZNJq3AtK8wqCDESfzGCIIgHAWiUZmtrY5R61cdqDTDTHOvF28wTNfeWIBldjVhWLxo1DFKi4XELAOSHP3cWtusqeuJtbEZ7X25uqDyn/SUXcitm35Nqj6Vl89+mRNr0/DqMymYt28nYWmmmb3qYl40XAk3fArf3wwn/Ty2C7BrO5z3F8idP3h9RVMfAHPyEsmanoFXn0nvik/GfF5ZlnGuWovLmEemSFwXPgOxK1AQBOEo0GD14AqE4w+sMk3IMtR2uelucpIguzEVZqLOGDvZ2lg+G31zN7a2w19uIdbGxsriySmDZSGG2fAYREP8Whcl6ArywPIHyDfns2bFi6BdQtEJ0wYvVSkVlOVaqGyOBUykToHjfhz7Ew6AamiJiYrmPqakG7EkqAdzpboa7ExyOlGaR15uDezeTZ9PRxQlmUUiv0qYODFjJQiCcBSoaY0lrsfboHhq/87A3Z1OuhodmGx7xlwGHJBQPhejswVbs+OzP2yc9lo9tNl9o+dX+R2w6W98XHI8H3Su57uzv0u+OZ9QZyedDh06VYiUHOOQIeX5SWxvd+IPRYbe64CgSpZlKlvszM2Pta9JLzAhSeAwFuBes2bUZ3avWo3TUgSIxHXhsxGBlSAIwlGgptWBXqNkcrpx/IuB/GQ9CWolu5scuGwBTI69cQZWczB42nE7IwR84YN97DGtqbMCsGy0wGrz33EHXfxK6qUkqYSrZ8T6G9rffY/epFLypiYNS8Sfm59EOCqzrW3swLDB6sHuDTG3IBaUSzljAAAgAElEQVSoanQqkrMNOFNKcK9YOeo49+rVuHNnY0zSYkzSjnqdIIxGBFaCIAhHgaoWOzNzLCjjbI6sUEiUZBjpaoqVBTB7W9EvWDDuOE1hIWZiQUnvYa5ntaauh4IUPfkp+uEnQ35Y/ygPFc6kJ2DnnkX3oFbEyjG0vr+BsNpI4cL8YcPK82OBUsXAcuAoBvKrBmasADKLE3GaCnCtWYscHh5URhwOfJWV2I0FYrZK+MxEYCUIgnCEBcNRdnQ4mT1OYdADlWSYCHT5QJbJmJSEQj9CAHMASZJInRTLr7IdxgrswXCU9fU2jhut6XLVP6kK23kJJ5dPu5xZabMACNTX02mPtZDJnTq8R1+qUUt+sp6KJvuYr1/RbMesU1Gctm8GMLPITBg1rlACvsrKYWM8n3xCQGXCF9aIwEr4zERgJQiCcITt7nQRDEfjzq8aUJppIsUdwuDtwLLkmLjHJZeXogz7sDbYJvqocats7hu9jU0kTGjdg/wiM4cMfQY/KP/B4Cnnu+/SmzyNlCwderNmxHvPzU+korkPWZbHfP05+Uko9psBHAiWnEnFuEZYDnSvWo0ra+aQawVhokRgJQiCcIRVDySux7kjcEBphomssITJ2YRhycj5VSMFH4Z55Rg8HVjrrRN/2DitqbOiVEgjt7HZ8QZPR/vYo4hw57F3YlAbBp/V9u4HOCyTKChLH/Xe5flJdLsCtDv8I553+UPs7nIxN3/oz9OSnoDWoMI7aQHulSuHnJOjUdxr1uApWYRSrSA1L75cN0E4kAisBEEQjrDqFjvJBg25SQkTGpen06BWaDAEOtFNnz7s/Ot1r7P0paW8vPvlIcd1M2di9HbQawuPOetzMNbU9TAnLxGz7oA2NrJM4yd/5ImkRE4rOJXj844fPOXfupUetw5ZUpI7bfgy4ICBvKnKUfKsqlscyPLQ/CqILYNmFlmwGwsINjQQbGra99rbtxPp7cVhyCc934RSJT4ehc9G/OYIgiAcYTWtDspyLWM3Fx5BqDs2Y+OzaJCU+6q1R+Uof9ryJ+5edzcKScG9n97LP7b/Y/C8Qqcj0SwTiqrw2IOH5k3sp88TpKbNMWJ+lVz3Ib/Ailal5fZj7hg8Hqivx/rIo/SmzkClVpBVPPpSXKw6vWLUPKuK5j4kCebkD58BzCgy4/SpCakShsxauVetJqpQ0+tSkSGWAYWDIAIrQRCEI8gTCFPX7ZrwMiBAR3ULUjTEjqR9AYw35OWHK37I09ue5uulX+eDiz7gtMLT+MPmP/BY1WODM1Rp/Y2JbS2Hvp7VJ/VWZJkR86te/+Q+NifouHn+LST6FPQ++xx7L7qYhrPOxr12LY6ChWSXJKIao62PWqmgLCeRypaRZ6wGCoMOmy1jX+6Ur3TRkDwr9+rVBOcsJxqRyZw0dq9GQRiLCKwEQRCOoG1tDqIyzM6b+CxJ1+4eTO42PtDnE43KdHo6ueq9q1jVuoo7Ft7BncfeiU6l47fH/ZbzJ5/Po9WP8sfNf0SWZTLmTY7do2qEpsSyjKPiNXavfJH6HjdOfyjuJUNZltm4qYMipYrJRh3RSHTwnLX+Ax4I9XB5g4UFD66kbtnxdN1/P3I0Qvrtt5H5xvu4gjryxlgGHFBekMj2NieB8NBCodGoTGWznXkFSSOOyyg0gwS+0sV4N28m4nIRttnwb92KpzTWDkgkrgsHQ7S0EQRBOIIGEtfLJjhjFY3K2BwK0sM9NGpm8tHezdy/5VZ8YR+PnPQIS3OWDl6rVCj5xeJfoFfp+ceOf+AL+7jtmOvQvL6OnroDaln1NcG7N2PZ8wEW4GcfbOSfkZPRqRWkmbSkGbWkmbSkm3Sx7/c/Ztbib/GQscnBRah5/mfrQYIEgxqdJoK3aw839H0Dvd9JrUbG8rWbSF22kMSZxejNGuoregDImx5HYJWXxBORBra1OYcEUQ1WNw5fiPL8kQMrTYKK5CwDdkUeGeEwnrVrkYPBWDCpz8eULGGwiMKgwmcnAitBEIQjqLrVQU5iAqnGMT7MAy6IhEC/L+Doa7ETkdSYs/SoTDXc+smrZBjSePKUJ5mcNHnYLRSSgtsX3o5ereeprU/hC/soCxfRZ+1fRoyEYeMT8PF9RIH7QldycUoDv3L+nTNmpLPKch49rgA97gB7rR427O3F7g0Ne50zPWqKJSXJJ2RSronSt2UHzj2t+EMK1FozjtSp9KoSiUaBbuBVa+xPP4NFQ3KWYdyf28COv8rmviGB1UDe1YGJ6/vLnGShvqKbaYlJuFasgHAEZWoqPTaZ7Mlitko4OCKwEoQ4tdt9ZFl0E08wDkSIhKLojMPzPQShptU+/jLgv74BjZ/AnMtgyQ8hpZjWtTsB6JxkJSHx36Sop/LCWU+QrBt9tkeSJG6aexN6lZ6HKh9iqvpSPJECIq1VKN+9CTqqYMppPJf8A/6+ysm3rloCH3yPpbt/w9IzUuCs7wy5XyAcweYOxgIuV4Buu4/eF/ai1fWy7LWnCFZXkSlJFC5cwFO5VdQVBfnnlStQGTMIeMN4ncH+PwG8jiBeR5CsyfEl8aebdeQkJlDZPDSBvaK5D0uCmkmpowdnGUVmdqxth6Wn41n1H2RAufwMPPagSFwXDpoIrAQhDp0OP8t+t4I/f30O58zOntDYda/toa3OzuU/j7+Ao/DVYHMHaOn18Y1jCka/qGsHNKyEnPlQ/S+ofB6mn0dbxQkow6k8rP03Gt8CpqiuHzOo2t91ZdehV+up2/ghaZFFdDxwFbkZPrjoaeTp5/P8A2tYUJhEbmoiXPwMvHoNvHcLyFE49ruD99GqlGQnJpCdGCsTUbe5i/+FZWZs/gekRkm7+cdYzjmHP9U9wtv1W3g2+TjUpkwAdAY1OoM6rtmp0cwtSGJLY++QYxXNfZTnJw4pDHqggRwq75Rj0L3zIgCBkkWwSeRXCQdPJK8LQhzqe9yEozJbmsbuTzYSW5ubvg4PgRGWTYSvtpr+RsJj5ldtehJUOrjiFfjRNlhyE7b6j+iwRlEGm7lu+vnMSfg/6rpGLpY5mis0WcxO7ATgJXk+nutXwsyvsbPTTV23m/Pm5MQuVGliwdW0c+C/t8H6R0e9Z+2GTrRhFxkZSia99Rap113HbpWVFxre4BK3lznH3z2hZxxPeV4i7Q4/nf2FQp3+EHXd7jGXAQGSMvRo9Sr6NNmgUoFSiV2bHSsMmisKgwoHRwRWghCHll4vADs7nBMe67T6gMPbl034YqpusSNJMGu0HoE+O1S/BLMuiuVXGdOpm3cF12ZOI6DNIVnZyLUfP8QvrDdTYFtLIDS8sfAwHhv8+3p47gLOTrWBHEXTl8J1a27BEXDwZlUbKoXEmbOy9o1RquGip2HaufD+HbD+kWG39XtCNG+zkt6xgbT/ux5JoSAUDfHztXeSGo5wU87JYMn9jD+pkc0tGFootKrZPmJh0ANJComMQjPdrT6My4/HsHQJ3W1+0gtEYVDh4InfIEGIQ0tfLLDa1emaUKXqcCiCxxErwGht9YxztfBVU9PqYHKaEaN2lKyM6hch5IUF1wGwunU1V753JdNqLcgKFdNOOwvO+B3J4W7+pv4d0cePg62vQjQy/F6yHAvS/jIftr0Ky25B/f3VGGQX6ZFJ7Ordxbfe/xZvbN3N8SVpJBsO6NOnVMNFf4fp58P7P4V1Dw85vWdLF1FZIk/TgenUUwF4dvuz1Drq+amtF9PSmw/653Wg6VlmNCoFFf2B1UBh0HhKV2QUmeltd5P+69+T9eeH6Gl2kVkklgGFgycCK0GIQ0tvbNbJ4QvRMUp/spG4bPuutbW6DvlzCV9csixT3WIfvfFyNAobn4S8Y5CzZvPcjuf4wcc/IN+UzymBWBuY3BPnwjHX03blOm4OfpdQwA+vfTsWPG15BsKB2L1698JzF8Dr10NKMVy/Bk68E9Q6Ei3gJYlHFv+RRkcz7qQHOX76KBstlGq48CmYcQH870745KHBUzvf343e00nRNRciKRQ0O5t5rPpRTvaFOCn/JEgrPYQ/vRiNSsGsHMtgAntFs53SDBOmEQqDHihzkgVZhu42H9YOf39hUBFYCQdPBFaCEIeWPu/grMJElgOd/YGVWqfE2iqWAoV92uw+bJ4gs0dbBmz4GHrrYeF3+EvVX/jdpt9xQt4JPHP6M9g7I2jxY0qLJX4XZiTytrScR6Y9D5c8BzoLvH0TPDgb3vkRPLoIWjfDmX+Ab70PGfv6CqYWJuHTpTKtPYH52tuQVG6eb76NFmfLyM+lVMPXnoKZF8IHd8HaB3DafHTbJHKCdVjOOgNZlvnlp79ELcMdPd2xnYyHydz8RGraHPhDESqb+0atX3WgjKJYdfWuBiedDbFctwxRcV04BERgJQhxaOn1cXxJrD3HRAIrV39+VcGMFHrbPUSjh6fhrfDFU93fSmbUGauNT4IhnZ0ZJTy19SnOLT6XPy3/E6oOK3ZFKqlJDJYlUCsVFKcb2d3tgennwnUr4MrXIWUybP47FJ8IN2yAhdeBYmirmIw5hSAp6Ph0B5/uNLNQdwe+sJer/3s169rWsbt3N83OZro8XTgCDgKRALJCCRf8FWZeBB/+nO0PPQXAtPPmICmVvFX/Fhs6NvAjp4/0vMWQt+Cw/RzL85MIhqO8U9OByx8erG81Hq1eTVKmns69DroaHJhSdKIwqHBIiHILgjAOXzCC1R1gWpaJ6lY7OzvjX9JzWv0oVQrypiezZ0s3jm4vSZmffXu58OVR02pHo1QwNXOEWZLevVD7PtFlt3Df5t+SqE3ktoW3oZAU2Fevx6vPYNqMoaUVSjOMbNjbX3pAkmLBVPGJ4HeC1hQ7NoK0yelAA03b2nFkZXDlvKXkpZdx3QfXcf2H1484RkJCp9KhU2rRFhVzyQoz+shefmZageZ/b7PDuoNyfQ4X7V0Ppz004j0OlYFE9afWNMS+H6WVzUgyJ1nYW21FqZLILol/nCCMRQRWgjCO1v7E9bxkPdOyzBNcCvRhStGRlmcCwNrqFoGVAEBVi51p2bHk62E2/w0USt5IzaKm8iXuW3IfZk0sAGtbvxukpWSV5w8ZUppp5o2qdhzeEBb9fjlGurGXt8xpCSiJ4LWHSSlWsXRyKmplOq+d+xrbrNsIRAL4w378ET+BcAB/xI8v7Bv8Oml9L0FdHkHpJTTeLgLKTKYlT+XO+ioUmbOg+KSD/lmNJdOiI8uiY1eni0T92IVBD5RRZGbnuo7YfcQyoHCIiMBKEMYxsCMwNykWWH20swtfMEKCRjnOyNiMlTlFR3KWAYVCwtbqZsr8jMP9yMJRLhKV2dbm4MJ5I5QfCHqh4jnsU8/gzzueZm76XM4tPhcAORKhu9kFOZBRMDQ3a2pmLHjf3eViYVF8hUIBFAoJs0nG35vGZZlR1MpYoJesS2ZZ7rIxx8qyzPuP/YkGXZSrl2q5YedGWP7TWA7Xp6/FdhFOsFPBZzE3P4l3t3ZQnpc4oc4I+yeri8R14VAROVaCMI6BHYF5yQlMzzIRlWMfXvFw2nyYUhNQqhUkZuqxilpWArGCs55ghNkjFQbd9ir47TyYaMYVdPGzY382GCz4t23DocnEqB/eIql0ILDqnHittaBFi8eYw8nRrgmN86xbRxt5ZCaHMFz+AMy5AlbeD2/eAElFsdIMn4Py/ryqeRNYBgRIyjKg1ilRqRWkiMKgwiEiAitBGEdLrxedWkGaUTuYD7MrjuXAoC9MwBPGnKIDICXHiE3sDBSIFQaFEeotyTJs/Ctbs6bxWsdaLp92OSVJJYOnPevW4TQVkDF5+IxUlkWHSaeKO+jf3w5JSVBjxtK4d0Ljap94DX9CKtPOmhVLij/3YZjzDfA7YMlNwxLlD5elU1JRKSSWTkmb0DiFQiJ/WjK505JRKsXHoXBoiKVAQRhHS5+X3CQ9kiSRn6zHoFHGlWfltMVmusypsT5qqblG6jZ14feE0BlEQ+avsppWB0atikmpB8yStGwg0rmV+6YtIFXS873Z3xty2raukoDhUjJLUofdU5Ikpmaa2D2BzRUAPa4Am/pcFKClZ1cnRXGO82zcSHOfCaUxSvH8WP+/weBq3jchd/6EnuNgTM00s/We0+Janj/QKdfOALFZVziERIguCONo6fWRlxQLjhQKidJMEzs7xv/wclpjNayiq9+j5f++N9iDTMxaCdWtdmblWIY3Ct74V15NTmOHv4tbFtyCUbMv8Iq4PXQ3xQL69MKRE61LMkwT7g7wbk073YooAHaXgnBffP0wux99nO6M+RTNTkOj2+//0RWKWHmFzyG3an+fJagCUCoVoo2NcEiJ3yZBGEdLn5e8ZP3g99OyzOzsdI774TXQI5DNq3CvWEGiKdZmRBQK/WoLhCPs7HBSduAyoKsT2663eTDRzDGZx3B64elDTns3bcSpz0WSGNxleqCpmSZc/vCEugO8UdVOfrYJrVbCbcjGV1k17hhvRQWttU5CKgMlx2bH/VqC8FUgAitBGIPDG8LlD5OXtC+wmpplxuUP02b3jTnWafOj1imJ7tkRO1C7lQSTWjRj/orb2eEiFJGZc2Di+pZn+HOiCR8yPz3mp8N2t3nWrceZOInkLD1q7cizM6X9OYDxLgc22TxUtdg5vzyHlDwTHmMOvsrKccdZH32M7rwlaPVK8mekxPVagvBVIQIrQRhDy2ANq4TBY9OzYrMF4y0Huqw+TIlqZEeswrZvyxZScoxixuorrqY1lrhetn/F9XCQyqqnedNk4KoZVzEpcdKwce5163BZikgfo1FwaUbsd3NXnIHVm1XtSBKcMzublDwzHlMO3nECK191Nc51G7GmzKJ4XoZYRhOEA4h/EYIwhpbefTWsBgzMCoyXwO60+TGoQwBIOh3ezZtJzTXGWttEoofpiYXD7dGVe7jybxtYW2edUC6TxxHgld9spmlVO9l6LdkW3eC58M43uE8PmZpEri8bXu081NmJo81BSNKSMUp+FYBFrybLoqM2jp2BsizzRlUbCwuTyU5MICXbQERS01fbhhwKjTrO+uhj2PKPJRxVULpQ1GQThAOJwEoQxtCyX9X1AUatioIU/ZiBlSzLOK0+9NHYNeYzzsC/YwfJaWoi4Sj2rrGXEYWjUyAc4fGV9azdY+Ubf9vAxY+vZ01dT1wB1q71HXQ3Oklu9HNpl4INbzXgd8cCmJc2P0StVsNti+5Cr9YPG+v5ZB0ucwEA6QVjVwgfSGAfz/Z2Jw09Hs6bkwPEyoEAuNSp+HfuHHGMb/t23KtWYSs7C2OSlqzi+PryCcJXybjlFiRJ0gGrAW3/9a/KsvxzSZKSgX8BhUAjcIksy339Y+4Avg1EgBtlWX7/sDy9IBxmLb0+zDoVloSh5RGmZo794eVzhQgHo+hcXSiMRsxnnoHj9dcxOFsAsLW5Sc4WrW2+aFbu7sHpD/PkVfPpdPh4dGU9V/5tI/MKkrjppCkcNyV11MrfdZu6SCs08fveHq4yJ7HlvSZqPm6leFaQN3oDXCylsmBHmN7VzxLusRK2Wgn39BC2Wgm1tOAqOh+lWkFyzti/N1MzTayvtxGK7KuiPpI3q9pQKyXOnBUrlTDw++gxZOOrrCShrGzYGOtjjxFOyqTLbWL2yRlIB+5qFAQhrjpWAeBEWZbdkiSpgbWSJL0HfA34SJbl30iSdDtwO3CbJEnTgUuBGUA28KEkSSWyLEcO03sQhMPmwB2BA6Zlmfnfji68wTB6zfB/RgM1rDQ9jWiLi0koLweFAk1DFQrlTKytbqYsEMsoXzRvVrWRatRwQmkaKqWCSxbk8fLmVh5bsYer/r6RufmJ3HRyCcsOCLBsbW5sbR4KLU1ct/m/HGORiQbV7NHPY5e/jJMjvyC3bRWNz96NJuQBlQpVaiqq1FTUWVkkzJqFX15Mmtk4biHL0kwTwUiURquHKRkj7x6MRGXeqm7n+JJ0EvUaADQ6FaYUHV5nMd7KKpKvvnrIGP/u3bg//Aj3ZXcS7ZApEcuAgjCicQMrOTbHPZBtq+7/IwPnAcv7j/8DWAnc1n/8JVmWA8BeSZL2AAuB9YfywQXh89DS62VK+vAPp2lZZmQ5liQ8N394Gw1Xfw0rVctONMdMRWk0ops2jcDmTSSVHCMS2L+AnP4QH+7s5vKF+aj6gxutSsmVxxZwyfxcXtncyqMr9nD13zdSnp/ITSdN4fiSNCRJonZjJxIyuf95FI02AWNWAbpJGSg0e9jW9y75+vNoKjiNtsmnM3NxOuVnFaM378vBikai9P5wNdPLxm8UPNDaZlena9TAasNeG13OAHedPbRUQkqOEVtvPr6KV5FleUhwaH3scRQGA+3aKSRny4NLh4IgDBVXjpUkSUpJkqqAbuADWZY3ABmyLHcA9P+d3n95DtCy3/DW/mOC8IUiyzKtfb4hOwIHTM8aO4F9YMZK3VGPdlIxAPr58/DV1JCSnYCtdeJtR4Qj67/bOgmGo5w3Z3jdJq1KyTeOLWDFLcv51QUz6XYG+ObTm7jg0XV8vKuL2o1dpHj30puWzr0X30PxP58j/fe/5udl29gwv50rblvKZXcfQ9HsNKpWd/HcXRtY//oefK4gAL0dXsKh6Lj5VQCT040oFdKYCexvVrZj0Cg5aerQWaeUbANujAR7egl3dAweD+zZg+v999Fceg2djbHZ1ok0OxaEr5K4AitZliOyLM8BcoGFkiTNHOPykf61DcvslCTpO5IkbZYkaXNPT098TysIn6MeV4BAODriUmBuUgJGrYpdo5RccFr96HQSqkgA7eRYYJUwfz5yIIBZ4cLjCOJzBw/r8wuH1ltV7RSk6JmTN3rCtlal5IpjCljxk+Xcf8EselwB7nqqAndfgPTG1bw5eRmz+2c4n9/+LPXBPu5QZKDLmUtytoFTr53JZXcdQ1FZKhX/a+bZO9ez7t97aNpmBRhzR+D+z1CUahg1BzAQjvCfbR2cNjNzWLXylBwjsizh1afjrdhXdsH6+BNICQlYJ58IQIlYxhaEUU1oV6Asy3ZiS36nA12SJGUB9P/d3X9ZK5C337BcoH2Ee/1VluX5sizPT0ubWONMQfg8DO4ITBoeWA30ZRt1xsrqw6CJBU6a4skA6OfNA8BgawBEa5svkm6nn3X1Vs6bnR3XTI1GpeDyY/JZ8ZPlXJOThhQNIXuaeDtxGrNzLXR6Onms6lGWe7wcv/DGIWOTsw2c+u0ZsRmsslQqP2jm0zca0OpVWNKHz56OpDRj9J6BK3b14PKHB3cDHvjaAJ7kosFCoYG9e3H+5z8kX34Ze7Y6yZxkGex/KQjCcOMGVpIkpUmSlNj/dQJwMrALeAsYyG68Gniz/+u3gEslSdJKklQETAE2HuoHF4TDraU3tpw30lIgxPKsdnW6iEaHb7V32vwkhJ1ICQmos7MAUCUnoykuRlsX++cg8qwOXjAcxR/6bPtigr5w3Ne+Vd1OVIbzyieW1aAEaHKR3lOFfM65HFuSzmkzMvndpt8hR0Pc7lfBtHNGHJucFQuwLv/5MUxdlMnsk/LiXn4rzTTR3OvFExj+Ht+qjiXgLykeXjE9MVOPQinhLygbDKxsT/wVSaNBPuNSets9ImldEMYRz4xVFrBCkqQaYBOxHKt3gN8Ap0iSVAec0v89sixvB14GdgD/BW4QOwKFL6KB4qA5icNnrCAWWLkDYVr7htakikZl3L1+dO4utEVFSIp9/8z08+YR3bIevVkjZqwOgdv/XcP5j3wyYnA7lr5OD3+7eQ31ld3jX0ysQvmsHAvFaRNL2G7ebiPgl8my17D8x9fxz2uPpcVXxQdNH3Bdbx85c78FSvWY90jKNHDS1dNZcFZR3K87kMB+YJ7VQAL+2WXZgwn4+1MqFSRl6vFY8vHv3o1/924cb79N0te/TkOtH0khMXle+rBxgiDsM25gJctyjSzL5bIsl8myPFOW5V/2H7fJsnySLMtT+v/u3W/Mr2RZLpZluVSW5fcO5xsQhMOltc9HqlE7LA9lwLSB1jadQ5cDPfYA0YiMpnsvmv78qgH6BfOJut0kJYJV9Aw8KKFIlA+2d7Gr08VHu+ILkAY0VPUQjcpsea9p3OKe9T1utrY5RkxaH8+uNU2oQ26KTp6J0mwmGAly/8b7KVAa+KbLB/O+OeF7xmPqKIHV+2Mk4A9Izjbiks0QidB2881ISiVJ11xD7aYu8qcnk2DSHJZnFoQvC1F5XRBGEathNXouSWmmCUkavjPQNVDDqqthcEfggIE8K1PYRm+Hh4hobfOZbWnqwxUIo1RIPLmmYUJjm7f3IikkeppdtNfZx7x2/356ExH0h2nabie9p5LUq74BwDPbn6HJ2cRPu7vRTD8PTIdnWS0vSU+CWjksgf3NOBLwU3IMeLwQVuoI7qkn8eKLsbq0uHsDovaaIMRBBFaCMIqWPu+IiesD9BoVhSmGYYGVs7+Glc5vG9wROECdnY06Oxt9dy3RsIy903voH/wrYsXubtRKiRtPnMLGvb1Ut4wdIA0IeEN01DsoOzEXnVFN1Ycto14ryzJv/j975x0eVZn24fvMZCYz6b33RkINSehFehGBRcBeEOuKrm11177rp2vZFQtWREAUUVxApYn0EmpoCUlICKT3TMokmT5zvj8GkJiOKLo593VxAee8zznvmZR55im/50Qpw6O98b9EV6ornD1UglWUERkGytBQUktT+ST9Eya6xTJcq4HB93Xret1BJhOI83dpUcDe1QJ87yB7utMUPxhBocD73nvIPVKJg1JG5ACfX23PEhL/K0iOlYREG1isNsrqDR1GrMCeDsz+meSCtkYPiKgMtSijo1vZqFOSccyy6+VKBeyXz67T1QyK8GL+yAhcHR26HLUqzq5DtIlEJ/rS75pgCtJrqKtobnPtieJ6CjW6NjvoOiNrczYqfQ0Rd05lYdpCHtj2ACGuIfy9ohQC+kPo4G5fszv0CmjZGbg+vRybCCFHxLsAACAASURBVDM6eZYLI3PEiXMI+MeLyHz8yDtaSeQAX5SqrgzrkJDo2UiOlYREG5Q3GLDaxA4jVgAJAW4U1epouqT7SqsxoHYwI3eQoQwNbWXjlJKCY3kOMrl91IlE9ymr15NT2cjYXn64qhTcPCSMzacqLjYcdERhpgZHJwdUmfvoPdgbuULGie1tR62+O1GG0kHGlL4B3dpfc52eijoFAWI+f658i2WZy7gh7gZW9X0Yv8rT9mjVryyw2SvADU2ziepGIwDfnyilb7AbMX4dF+C7eqlQquQ0u4fhMXs2xVm1GJstUjeghEQXkRwrCYk2uKhh1YY46KXEn1dgz7mkgF1bo0dtaUAZEYHg0PoTvlNKCjLRhrvaInUGXia7cuyiwmPj7Rp484ZHIADLUgs6tBNtIkWnNAR6m6n425NoF/2bXkMDyDlQgU7bUrDVYrWxIb2M8fF+uKk67tz7OZlf7wdBxs7A3RQ0FrJwzEKeH/Y8qqPLQe0J/eZ063qXw4UC9pyKRvJrmjlZ0sDMAZ1H3gRBwCvI5aLTn3ukEpWzgtDeXr/qfiUk/leQ4roSEm1QckHDqrOI1fnOwKzyRpLD7W88jRoDbo0VrToCL6CMjETu5YWrsZKako6v/0fi3e1nKKhpZuGNid2ya6ozsuH9k4y7Pb5LI1vAXl8V7KG+KH8Q5KHmuv6BfH2kiEcmxOKubtsRqilpQqc14dmYBkDDf9cQ+8Z4siwip3aXMHh61MW1qWc11DSZWqcBteWQvxvMerAYWv2tMzVx6uBgVDY5VUOq+K/Bm6AfXwXzi1CdDcMeAsWvL7B5QXIhp7KRtMLabhXgewc7k3e0CpPBQv7JauKHBnY6/FlCQsKO5FhJSLRBcZ0OmQCBHh0XLAd7qHFTOVwsYLeabTTVG/GpLcZxaNuOlSAIOCUnoy7LRucbjE5rwsntj93CXq8z8eGus+jNVv46uRdBHl13HDJ2laApaSJzb1mXHCujxcr+vBpmJQW3KMK+Z1QU354oY9XhIh64pu3XvvCUBgDnA+vwvON2dAcPof/3i4TPeYuM3aUkTQ7H4by8xnfHS3FTOVyMigGgr4NPJ0FDUeuLO6jIUTnxQVM4caq5uInfsdTsgoNCDipncFVD4AC7Y/Ub4OPiiI+LkpwKLWkFdQyN9CbAvWsF+N7BLmTuLePU7lIsJhuxUhpQQqLLSI6VhEQbFNfqCHRXo+jkU7ogCMQHunH6vGPVWGsAEdS6Ghxjxrdr5zQoBfUHa8F3AprSJpzc/thplq+OFKM/r4C+KaOce0ZFdWJhx2yykrm3FIBzx6sZfXNcp5GRtII6mk1WxsS1FKrsG+zO8GhvlqcWMH9EJEqH1tcpPKXBy9mI0tCA54034jFrFvlzbyC04EcK9UM4fbCCvqOD0ZusbMmsYPqAIBwdzuuYiSJ8/xdoLIPb1oBfb3BQgUKNKHfkq9yv+c+R//BA+mBMahsznnsBh9DW6ua/JXH+rmzJrKRBb+b+a7r2NYGfRtsc21KIq5eKwCj3X2uLEhL/c/SY2G6DzozWYL7a25D4g1Bcp++0I/ACCQGuF0fbaM9rWKkMmjY7Ai+gTk7GpbkE+ON3BlqsNlbsL2BolBd9gtzYmFHeZdvcQxUYdRYGTAjF0GymNKeuU5udp6tQymUMj2nttNw7OooKrYGNGa3Gk2JoNlOZ34BX+XFUA/rjGB2NKiEBnz8/gGLzCrw9RE5uL0a0iWzLrqTZZGXGpUKaaZ9C9vcw/kWImQBuQeDkRYPNxKO7HuNfh/7FeMcBODAQH1UT7lfZqQJ7OrBBb0YplzGlb2CX7byD7SlWo85C7CB/BNmvW2gvIfG/RI9wrCoaDAx46Ue+PV56tbci8QehuLZjDatLSQh0Q2eyUlSru6hhpTbVoYyIaNdGFR+PSgkqmfEPX8D+Y1YlZQ0G5o+IZFr/QI4X1VNS13l3niiKnNxRgk+oC0NnRqFQyck72rmC+q7caoZEeeGkbB1wHxPnS6yfC4v35LdSVC/OqkUUwf3MXjxmXX/xuM9996Hu04egk99QX6mjIKOG706UEuCmYmjkeeeo4hT88AzETGyRyjtWeYw56+ewp3QPT6Y8yV05yeic/EmYENvpc/wWXChgHxvv227dWVuonBU4u9vT01I3oIRE9+gRjpW/myP+bo6kFXT+aVhCwmC2UtVo7LQj8AIJ5zsDs8u1NGr0CNhw9XdDpmy/bkqQy1EnJeGiK/vDR6yW7ssn1EvN+AR/pvWzR0U2Z1R0aleSXUddeTP9RvqjWfgm4XEunDte3aEafXGtjryqJsb0antenSAI3DMqkuxyLfvPalqcKzylQSmYcTdV4Dbt2p9sFAqCXnsVn5KDqNFxZEshu3KqmZEYhEwmgKkZ/nuXvZvvTx+CTIbVZuWjkx9x15a7UMqUfHHtF9wWMZszxzTIsBI3Lq4rL92vTmKoJwBzklvLfnSGf5Q7vmGuF6NXEhISXaNHOFaCIJAc7snRQsmxkuicC0OVu5oKjPN3RSZAdkUj2hoDanMDjjGd17M4paTgVHWGuopmrJY/5mib9JJ60grrmDc8ErlMINzbmX7B7mzoQjrw5M5i1K4KvLO2ULtsGb5FqRh1FkpOt/9zuivHHtEa28u33TUzE4PxcXFk8Z6fBENFm0hhpgYvzSncJk5A7urawsYxNhb/Rx4iOG8T1ee0+Jj4aZ7epqeg5gxcvxhcfKloruDerffy/on3uTbyWlZPX00f7z7UrllHpUc/QiJVqJy7J8/wa9ErwJUDT49jYu/uR53G35nAzEe71+EpISHRQxwrgORwL0rr9ZQ36K/2ViR+51zUsOpiKlCtlBPhYx9to63W4dhUiWN0TKd2TinJuDSVYLOK1P1BR9ssSy3AWSlnbkrIxWPT+gdysri+Q7HO+kodhRkaeg/xoX7ZpyCXo9q8HKWjrMN04K6casK9nYj0cW53jUoh585h4ezOrb6oPF5V1IihyYxXxQk8rp/Vpp3XXXcR7dOE3KJnklVO70A3SF8NJ76A0X8l3zuMF/e/yLVrr+VUzSleGfkKr456FWeFM6LVytn/7sbk6E7ChF6dvWy/KYHulyftoFQ54Oj0+3AQJST+SPQYxyol3B4Sl6JWEp1RUts1cdBLSQh0u+hYqfU1OEZ3HrFS9euHq9HuRGhKGjtZ/fujSmtgQ3oZc1NCWwhoXkgHbuogapW+swSZg0BQ4Q5sWi3B//k3gslAoGMN+Seq24zgGcxWUs/WMCbOt8NZdwC3DQ1HpZCx5PyYm8JTGhBF/JS1OA0d2qaNIJejfPpp/Mv346+To83LgQ2PkR6WzKNUM/PbmWw8t5HrY69n3cx1zIiecdG2cccOSoQIFA4iEf2uftG6hITE1aPHOFa9g9xQKWRSnZVEpxTX6VE6yPB1ceyyTe9ANypr9Rj0NlSGmg47Ai8gUyrxjg1AJlqoKW17Vt3vmS8OFWGxicwbHtHieKiXEwNC3NvtDjTqzGQfKCemnwf6lUtxnTwZt6lTcZ04Ec9j32PUWSjOrm1ldyi/FoPZxpj4tuurLsXTWcnc5FC+O1FGVaOBguPluDUW4DdjMoKs/V97G+oU7HVxQBBFtr79FXf5uHGrvJojlWnc2/9etszewnNDnyPYpaVoaPXyL6j2TyI6JeCiDpaEhETPpMc4Vgq5jAEhHhwrkhwriY4prtUR4qm2Fy53kYRAV9xt9vVqQy2OUV3TDHIelIxzUzk1hfWXtderhcFsZeXBQsb18iOijbTctP6BpJc0UKRpnQ7M3l+OxWgltDIVm8GA718eBsD77vl4lB5DIbdxto104K6cKhwdZAyL6lpE6O6RkZhtNlbsPEd1qR5vTSbus9pOA17guxPFnBrngZPuGNWmwRhMATyZ8iRb52zl4YEP461ufW99ejolRWasMkfihnRd0kBCQuJ/kx7jWAEkh3uSWaZFZ7J0vliix1Jc13WphQvEB7hddKxcXARk6q7VtTglp+DSVEJNkbbzxb8j1p8sQ9NsYv7IyDbPX3s+HfjzqJXNJpK+s4SAcCdYswT36dNxPB/dUw8YgEtKEr61GZw7WY3V3DIduCunmmHR3qgUXYsIRfg4M6m3PwdSSwCB4ACxzaHYAHqLnrcOLaXE+UXKVUs5nPAjNrmKe05cy+29b8dJ0f73Q+3yz6gMGoqTq4LgXp5d2puEhMT/Lj3KsUqJ8MRqEzlZ3HC1tyLxO6a4tuvioBcIdFcRILfrKrmHdv3NVZ2YiIuuDIMBmhuM3brn1UIURZalFtDL35Xh0W1Hj0I8nUgM9Wgl1FlwsoZGjYHwhjREqxWfhxa0OO99z934Fu7DpLe2SAcW1DSTX9PM2EtlFixGWHMvfDIO8ve2uY97R0URX9eEwqQlbOY1rc7XG+r58OSHTP7vZJaefguF1Yl36vS8523A38NIvjUKzZdftftamMvK0Gzfg8azN7GDAroV5ZSQkPjfpEc5VklhFwrYW9dvSEgAaA1mGvTmbkesBEEgXKlEZjXiGtV1zSC5izNePnaHTFP6x9CzOpRfS1a5lrtGRHRYRH5d/0BOlWopqPmpfuzkjmJc3B1Qb/gEjzmzW0WQnEePJsDbioPNwJmjlReP/ySzcN6xMjbBlzdCxmqoL4bProOvb4Pa/BbXGxjqQTBqPOpycJk08eLxksYSXj/8OpPWTOKDEx/Qz6cfrjUP8VVdE+OadcjmfEbKrYMwOnqSsXwHpqI2ZgMCtV+spNo7ERsy4oZIQpoSEhI9zLHycFIS4+dCmtQZKNEOxZfREXiBAIsFtb4GZVTL9FizuZkqXfsSAv597c5FdeEfI5K6LDUfTycFfxoY3OG6qT9LB1YXN1J2pp4IUxZyGfg88EArG0EQ8Ll7Hr6Vx8k/Vonl/PzBnTnVRPk4E+btBLpa+PxPkL/bLtj5aDqMfQ7ytsP7g2HbP8Bo77KsPF2FKHOkHB3b8hs4VnmMx3Y+xrR10/jq9FdMDJ/I2hlruTP6/7ih7iDxxgy4biH4xBDe1xtPX0eKAq+h9JlnEG0tU5PWpmbqV6+mJn4SHv5O+Ia5IiEhIdGjHCuwyy4cK6zDZhM7XyzR4yiuPS8O2s2IFYDaYEVt0FDr29LheGznY0xdM5WV2StbjVkB8BiSiKOhjqrM3//IpeJaHT9mVXLLkLBOa52CPdQkhXmwMd3uWKXvKMZBIeC5fQmeN9+MIiCgTTv3a68l0JKP2WwfQ6M3WTlwTmNXW2+sgOXToPwk3PA5JN4CCjVc8yQ8fBT6XA/73oJ3k+DY55zZcBREG8fiDDx/5F7u/OFOjlQeYX7f+fww+wdeGfkKsZ6xnNy3nofl6zD3vREG3ATYnbzEKZE0OQVRltdE7YoVLfbZsHYNOrMDNTZv+zy9TiQgJCQkegY9zrFKDvdEa7CQV/3HSLtI/LZcmHHX3RorURSxGgVUBg25Kp+Lxw+UHeBA+QH8nf157fBrLNi+AI2+5aiVCwOZ/wgzAz/bX4BcELh9aESX1k/rH0RWuZbs/Dpyj1QSYjuH0kHE+75727URlEpirh+Jg7mZnO25HDynwWSxMSXEAEunQF0h3PoNJFzX0tAtCK7/GO7ZAZ4R1G34C+eyq3HS5XMsYSM6i4F5cX9l65ytPJL0CP7O9tSdSVvNzLMvolEGo5i+sMUlew0OQO2mpCzxBqrfehvjOXuqUbRaqf1sBbUDZwLSPD0JCYmf6JGOFSDpWUm0SXGtDhdHh24NrAUwNJuxinJslmaytfaUkSiKvH3sbQKdA1k3cx1PD36aQ+WHmP39bFJLUy/aOnh64q7QodUrWnXC/Z5oMlr4Oq2Yqf0CCXBXdcnm2n72qNT2DWexWUT896/A647bcfDuWDLB68a5+DVkUZDbzM6sSvopyhi0/WYw1MOd6yFqTLu2ec7u/KP3COY790GnCsPkmMH7yhhCy+4k72xf1A6XOM2iSMOqe3AXGykc9z44tpyLJ1fI6D8mhCoC0HmEU/b03xEtFhq3bcdcWkql/yD8Itzw8Ot+hFNCQuJ/kx7nWEX6OOPlrJQU2CXapLhOT4inuttpHW2NAQC90j6MGWBr4VayNFksSFyAo9yRWxJu4ctpX+Lh6MED2x7g30f+jclqAsAn1A1RkFFbeokCe80Z+OpWqMq+Mg/3C1lztIRGg4X5IyK6bBPormZQqAfG01r8KMdVYcB7/vxO7eQuzkQP8MKKA0JqKqsU/0QAmLcJQpJbrbeJNvaW7OX+rfcz6/tZbDi3geuL7V2AM0YFM/rcQTYKT9Dn9LsUlV9S73bwA3zLd/G27E4SB49ucy99RwfjoJRRNWkBhpPpaD5dSu3y5RijEqlrEKRolYSERAscrvYGfmsEQSApzFPqDJRok+JaXZuCl52hrbHXZomeLmSXN2KxWVh0fBExHjFcF/VTyqqXVy++uu4r/pP2H1ZkreBwxWFeH/06/okRsBsqjubhG5EMBanw1S32CI0ggxs/v1KPeFnYbCLL9xeQGOrBwLDuaTVNcnPFZDUSeHIN3vPnI3dza3H+XMM5/nXoXxgtRtQOapwUTjg5OOGRLOBe4E+Upp6VEe54jliAuuksToZy1Ao1Tg5OqB3UnKw+yRfZX5DfkI+f2o9Hkh5hdtQstm/6EqOrnoA7ngLtrZg3P89Dp9ei/XQvXPcy+PRC3Poi28UUmgbchULe9udMlYuChGGBZKaWETN5JtXvvgtWK3W3vYZQCjHJnSvBS0hI9Bx6nGMFdj2rbdmV1DQZ8enG2BKJ/21EUaSkTs+oWN9u29bn26Mg6kh/Suv1rMpaQ4G2gHfHvotc1rLIW+Wg4rmhzzEiaAQv7H+BmzbcxDNh9yOzBlN5qoR+sWfhuwXgGQG9pkL611BXYP//VWJXbhX5Nc28e/PAbtmJoohTgR6LQYOLuQyv229rcT6nNof7tt6HKIr08upFs6WZGkMNOrMOvaGeG2yO6BSD+Er4mtqMD9u9Tx/vPrw26jUmhU9CIVeg3bsPjTqS8HClPfroHoL6pmUs+mwCo88tZMC3fwaZA3qlD0/U38fSpI47HPuPDyVjTylVI2/HJ20fNpOJYp0PIQnOOLtLv0MkJCR+omc6VpcMZJ7cp+3OJImuY7OJly2MKNpEhN+JqGJNkwm92drtwnWA+kINCnMTfv3j4EgzizM+ItE3kTGhY9q1GRs2lv96/5dn9z3L8+fe5nHjX6kptsLaxyBilD1KZdZDxjdwaDFM+dcveLpfxrLUAgLcVEzt272fl/KzDdSXNtOr6Ec29ZtEovNP0cCM6gwe2PYAagc1SyYtIcI94ifDE1/Cdws44BXJseaR/EfzIJF3z7I7XBY9Oovu4r/9nPzo59OvRfq2YM1uLIphRI/v1WI/EydPZ+rbbixOzGdi03r+Y74VN5nvRY279vDwcyIq0Zeswxpu+nQ5NUVaGtfWM3hG10YXSUhI9Bx6pGPVN9gdpVwmOVZXgIoGAxMX7sbLRcmIGB9GxvgwLMobT2dlp7b7/nuGzN2lBMZ6EBLvSWi8Fz4hLlfN0Sq+0BF4GVIL2upmVHoN0SlTUOa9Rb2phkeT/9NprZa/sz+LJy1mefqn6HcWYxL7cTh+CoPnfA4OSlB7Qp9ZcGwFjPk7qNw6vN6vQW5lI3vP1PDk5F7tpsvaI31HMQqbAS9jHst8pjG3spFYf1fSKtJ4aMdDeDp6smTykpZDjQ9+CD/8HWvENTyYewP3NxoozGoi2abGx82n/Zudx6rVUpTXjBAiEta/Zf1TfIAbI2P9eOasmt4L7mX56zt4cExwl2rqEieEce54NfkVKmo1VuQKLVGJ3Y9uSkhI/G/T44rXAVQKOX2D3aQC9ivAigMFNJksRPk48/2JMh5ceYykl7cyfdE+Xtt8mn1najCcF3m8FEOzmczdpbj7O9Fcb+TA2rOs/tcRlj65jy2fnCJzb+nFuqXfipK68xpWlyEO2tQk4mRrxMnPCUffXfjKE0n2b11k3RYyg5b5J74nWn4Wi8KVl4tKWJTxMWab2b5g6INgaoTjX3R7X1eCZakFODrIuGVwWLfstBo9545XE1iyB59778bioGBjRjn7S/fz521/xs/Jj+VTlv/kVIki7HwVfvg7JExnZ/L71NmUeEWoqXGLp2b12q7dd9MmNB7x+AcpcVS3/ux43+goqhuNLFh5DJsIMxODunTdwGh3AqLcOLGtiLyjVUT290Gp6pGfTSUkJDqgx/5WSInwYnlqAQaztctDXSVaYjBbWXW4iIkJ/iy+IwWz1UZ6ST37zmhIzathyd5zfLT7LEoHGYMiPC9GtPoEuZO1rwyL2cZgrzx8EwIxe4dS1eREaW4Dxdm15B211yy5+agISfAiNN6L4F4eqF06j4RdLhdU10M8u6lhZRPRWRzxdxJZnrUcZHoU2mldM64vgpVzQZNHrzFvkJcKMxpH8k76Yg6WH+S1Ua8RGpwEYcPg0Ecw5H6Q/Xbfr3XNJtYdL2HWwOAuRSEvJWNnCdhsRIh5hN76fwxemsaa7C2sKF9GlHsUH0/8GG/1edkFm83uUB3+GBJvg+nvsPP7bJyVcgbN7M+mRSfJXXcA39tuQlB0LIVRsW4LTZ6303dw26OFRsb4EB/gyonienoHuhHr33XF9MQJYfyw+BQgaVdJSEi0TY91rJLCPFm85xynShtIifC62tv5Q/Lt8VLqdGbuGmEf4aKQy0gO9yI53ItHJsTSbLRwOL+WfXk1pObV8MYPObxBDh4qBXfWKvDRFWJ89w1KLlzQwYGIkBBiIyIwBsWjcYqgyiTnzOEKsvaWgQA+IS6ExnsRmuBFSLznFU0bltTp8HZW4uzYvR+LpgYjNkGOylPOF1mfEaYcQd4Zd6w2EXlH+ys9Zp93ZzHCbWvx9xsGqfuIaYzkjdFv8NKBl5i7fi6LJy6m/9A/w+o74PRG6D3jFz5p11l1pAiD2Xbxa9xVzEYrWbuL8K0+QdgDtyMoFERF5JJZvoQ41wQ+nfwx7o7u9sUGLWz6q71If9hDMOllRGBXTjUjY30Ij/dE5QjlDpFof/gB9+nT272v8cwZyioF8ISIfm2nDQVB4N5RUTzxzUn+NLBr0aoLRCb64uajwqizENanYy0uCQmJnkmPdaySLylglxyr7iOKIktT84kPcGVoVNuvn7OjA2Pj/Rgbb29Hr240sv9sDcdTS1FWNBF+9gc+HnQjD86biJ+2GlNBgf1Pfj7WAwdwNxpxB6IFGU0+cTSED6K2NJaTxVqOby2i94gAxtyWcMVGiRTX6gm5jDRg/Vn7sOBCVTEWm4U/Rd/NKyftXXQxfi5tG53eCGvuAScfu+ClXzxqQI0OTZWJ2ZFT6e/bn3k/zOPF/S+yetoqFB5hcPCD38yxMlttfH6gkBEx3vQK6N4cvNP7yzCZBSLFXNyue4x1Z9axseJNbPoIhgQ+bXeqjE32CNX+RaCvs8/7G/1XEATOVDZSWq/noXExyOQyogcHcVpvpvLTT3C77rp2v+b1a9eh8emHs7sCr6D2ZTNmJgZhstq6nAa8gEwmMPnevpgMVuQOPbKSQkJCohN6rGPl6+pIuLcTaYV13H+1N/MHZP9ZDbmVTbwxp3+XHRtfV0dmJgZj+bGcBnM9Pm469vcazpEjRtYtmIKf609q3qLNhqWiAmN+/nmHqxBTfj6m3J0Yyqs5F3EtWakTcPdzImlyxBV5puI6Hf2C3bttV5dTDMBeWRpz4uYwPCwOqCK7XNu2Y3XwQ/jhaQgaCDd/Ba4/pZS8PAXqm70xl5URHBTM04Of5pGdj7Dy9FfMG/IAbHnGHukKTrrcx+wyWzIrKG8w8PKf+nbLTrSJnNhwGldtCbH3zebL3K947fBrDA8aTn3+LezJKOcp510I+98BnQZiJ8PY86/HeXbl2FPBY3rZi8NjU/zJ3FtGuUZJ0L5UXEaNbH1fs5m67zdQ1+9Z4vr5dvh96SCXcXM3a8Yu4Bf+2zcQSEhI/HHo0R+5ks8PZG5rMK5ExyxLzcfbWcmMAd37xF9VqKXinJaQwm2EPvEIn84bQm2zibuXp6EzWS6uE2QyFEFBuIwYgdettxLw7DOELfmEmG1b6X3sEMNmRuJXmcaBdec4k1b5i5/HahMpq9dfVuF6faEGRBslgU3cP+B+YvxccJAJFxXYL2Kzwua/2WuJ4qfBvI0tnCoA3xgfdE5+NB4+CsC4sHGMCR3DByc/oDxuIihd7VGr34Cl+/KJ8HZibK/uCWAWZVShbZYTKebwTVARrx1+jbGhY1k06g2edNvL8sZ7Eba9YHek7tkBt65u4VQB7DxdTXyAK4Hu9nq3wFgP1K4KqkOHofn00zbv27R3L7VWDywoCO8rpekkJCSuDj3asUoJ90LTbKJAo7vaW/lDUahpZvvpKm4ZEtbtwv+T2wqR24xEeDbgMn48/ULcWXTzQDLLGvjLquNYbS2dXK1JS3p1Ot+f/Z53jr3Dozsf5frNNzLLdTnBodm41+exbekpyvPqf9EzVWgNmK1i+1ILNhukr4a0ZZC9HgoPQE0e6OuorqhDYWrg2iG34KP2wdFBTrSvC6crLhlPY2qGr2+zF6APfRBuWAHK1vfy6x+OKMipOJxz8djTg58G4NWT70HS7ZC5DrRlv+h5O+NEcT3Hiuq5c3hEtzXKjn59HKWxgaJxFt458S5TwyfzplM8yvcGkXL63+SIYazquwRuW9PmeJpGg5kjBbWMucShk8kEYpL8qPFIQHvkOPqMU63s6teupTY4BZlcICS+e+rwEhISEleKHpsKhEsHMtcSeRljTHoqy/cXIBcEbhsa3i275gYjeWlVBJUdIOhvf76Yqhkb78OjU7x5Z89ebv9mJ/FhBvIb8slvyEdj0Fy0dxDkhDh6Emmx4WjQ8ujA43yyzczRZjc2LjrOnGeG4OF/ecNwL3QEtisOmvoWbH+pzVMNDa8jw8xdwCSoKgAAIABJREFUh7+GzB3g5MMzMpHsYkdIOwVOXrB3IVSkw9Q37J197eAbZk8zVedVXzwW5BLEAwMe4K2jb7Fz8HOMPWSDw4thwj8u61m7wrLUfFwdHZib0nZnXXtoiuoor1USYEzlH4ofuN6jLy8c3Yi8sQzCR8KcZXy4TU55gYGbRLHNdF1qngaLTWRsr5YaUTEpfmTsLqU2KBnN0k8Jeeuti+csGg1Nu3ZTN/ZVAqM8JBkECQmJq0aP/u0T6+eCm8qBY0V13X4D6ak0Gsx8k1bCdf0D8XdTdW5wCRk7CrHZIMajBueRI/gm9xtWnV5FYUMhJpsJpzDIMMCZPFfivaMZHTKaCAcXIhsqiSg7RUhhGgpbPqg8qFO5caOriRcnlvCP1Ws5rLid9W8fZc6zQy5LkuGiY9VWxKroIOx4xS7UOflf0FwDzdWg03C4+gTWQh+chEJcPcLtx+sKGaat4hprM2z40n4NhRPcuBLir+1wH26+auQyG/U6BZbaWhy87I0Bt/e+nfVn1/Nq5qcM6TUFp7RlMPqpNqNev5RKrYGN6eXcMSwCl252SB5ZsgfBpmJd7I/caoSnjm9GFjoUZn0EkaNBEJjWr4hn1mWQXd5I76DW9Uq7cqpwVTmQFN4y6hQQ7YGTu5K6/tNo3Pw8pqIilGH2OqmG9esxyF3Rmp3oK6UBJSQkriI9OhUokwkkhXuSViAJhXaVb9JKaDJaut1+bzXbOLW9EG/NKSL+Mo/lmct56cBLqOQqbkm4hX8O/yfLJi9nOG8Snz2D/6v14KW075m/+RXG7l9CpE6LYthDcNcP8ORZPOdt4q16A8Vo+PJmBQPOrqCpVs/GRSewtCFI2hnFdXoEAYI8fhax0tXau/c8QmH6O+AWBIH9IWY8Yr+5fFyTj0npQWBEONy8Cu7ZBo+c4MCNJ+llWE7a9fvgvt3w8LFOnSqwf096+Shocg5Bd/ToxeMKmYLnhz5PeXM5H/kF24czn1zV7efsCl8cLMQqiswbHtEtu8byKvLLlSib0xjkVc7fZH7IblsL83+AqGvgfHRqch9/5DKBjRmt05miKLIrp5pRsT6tVN5lMoHoJD8qjJ5YlU7ULl9+0aZh7Tq0/SYCEC7JIEhISFxFerRjBZAc5smZqibqdaarvZXfPVabyGcHCkgK82BAqEe3bHNSizBa5MS6V7JSdYKFRxcyOWIyn039jCd63cr1jU2k7FrIR6V38bnyVQLOrKLBOQKu/Q88mgEPHoCJ/4TwYSB3AI9Q+kz/iGdrNGy2pZM7P4rep1dQWdjEtmVZiLbuNSSU1OoIdFOhvLSFXhTh+4ehsQLmLAVVy47BHUU7MJ4uB0GGZ2jLN/OEQFeMKEnXukBQIrgFdnkvPjE+NLkEoztytMXxJP8kZsXM4vOS7ZwJ7mfvLrTZuvWcnWEwW1l5qIgJCf6EeXc9GibqG/jmxVexyR1xjD7AI9d+inDPdogZf9GhuoC3iyPDorzZmF7eqnHkdEUjFVpDi/qqS4lJ9sNqEWmeeAf1a9Ziqa3FkJmFMTeX+vAhuHqp8Ay88lE8CQkJia4iOVYR9nTD8aJfVvzcE9h5uopCja7b0SpRFDn+XRbOzWVkTpaz6PgipkVM5TV1HIpPJsCbvewOTNlxhH5zaZj1Bdc5fc648gUURd8KHu20xcdN4vrE+5nd2MQbtk0ob+lFzNm1nD1WzcHvznZrj8V1utYaVoc/gdMb7LVMwS2LrC02C+8ef5e+TREAeMaGtDjv56rCx0XZujOwC/iGuWNROFN7PLvVuceSH8NF6cLLnm7YNGcgb1u3r98R646XUttsYn53vsa6Wr76dDJW80icTfnc/s/1EDuxlUN1KdP6B1Kg0ZFZ1vL12XlBZiGu7Rl8gVHuOLsrqQ4YhGg0UvfFShrWrkV0VFPR6ER4X+8rpmsmISEhcTn0eMcqMdQDuUwgrbD2am/ld8/S1HwC3VVM6du9wdUlJ8uo16twl6Xzb/23zPRK5JUTW3DY9KT9zXfc8/DAPngsE6a/jfuA6Xx01ygsNpF5yw93HE0c+yxPO8fTx2TmcZf1RI7yILh0D8e2FHFqT2mX91hcq29ZX1WeDj8+C7GT7F18P2P92fWcazhHP2tvALx6BbdakxDoRnZF9x0r7xC79pWmXI+1qbnFOU+VJ48nP86x5mK+8wmGg+93+/rtYbOJfLL3HP2C3dsVfW1FUxVHV0yh+EQcJkdPhs0e2KFDdYHJfQLOpwPLWxzfdbqaPkFu+LVTvyfIBKKT/SjJN+A4bjJ1K1fSsHEjxjFzsJhshEn1VRISEleZHu9YOSkd6B3oJtVZdcLpCi37z2q4fVh4q9qXzji68jAO5iaWJWxljkXJS0e/R650gVu+gXt32tW2A/q1eEOO8XNh8e3JlNTquf/zoxgt7dRNyR1wnL2UhVorDiY9f++bQf/gCrw1p9izKofCU5q27S7BaLFS2Wj4qSPQ2AT/vQucvOFPH4Ks5fMarUY+OPkB/Xz64dCkRhCtuHi37iaMD3Alt7IJi7V76TrvYLtj1eQUhP748VbnZ8bMJMkviTfdnagr2AOVmd26fntsP13Fuepm7h0d1bWoT0MpVcun8oK5CT/jeFzQEjd1YOd2gJezkuHRLdOBDXozR4vqOtXNikn2x2qx0XzNTVgbGrA1NFAfNQKZg0BIL0lmQUJC4urS4x0rsMsunCypx9zNN8CexPLUAlQKGTcP6p5adW1eOaVaVzDuZ6hTHS80mpDNWgz374W4SR1GN4ZEefPvuf05lF/L3/6b3r6Qq1sgQbM+4fXKKvIaz7FklhNJ5r24NJWy5eN0qosb27Y7T2mdHlG8pCNw01+h9hxc/wk4t54399Xpr6horuDRpEdpagK1zNim1lNCoBsmi438muZW5zrCUe2Aq5cjTa7B6I6mtTovE2Q8N/Q5mkULC318rphg6Cd7zhHsoebarkQk6wowL5vC40od44/3ptk5lIGTI7o1u/G6/oEU1eo4VWqP6u07U4PVJl5UW2+PgEg3XDwdKdI4oU5JRhEURFmtI8FxnigcpYHqEhISVxfJscLuWBnMNrLKup+26QnUNptYd7yUWQOD8XTuupSBrTqX9a99BIhYYnbz9KC/ITyUBgNubBUFao+ZicE8ObkX354oY+HW3PYXRo1h+NDHebi2nvUVWznx+FgSi1ch19WzYdEJGmsN7ZoW1+kB7KrrJ1bZu+1GPwWRo1qtbTQ1siRjCcODhpPs2gcdTri2I4GWEGiXEsi6jDorn1BXmj2j0KcdbfN8rGcsd/S5k2+dVRzN+Raaqttc11WOF9VxuKCWu0dG4tBZRLLmDCydyutKEwVmOQG6sTgKRvpc179b95zUOwAHmcCG892BO3OqcFcrSOykMUI43x1YlKXB999v4/n+MuordVI3oISExO+CTt/dBEEIFQRhpyAI2YIgZAqC8Mj5416CIGwVBOHM+b89L7F5WhCEPEEQcgRBmPxrPsCVICXip4HMVwyLyd611dD1Op/fK6sOF2G02LpetK4tx/r9X3htyUz0DMLVnMmDf9+CMOzP4ODY7fs/OCaaG1NCWbQjj9VHittfOPqv3O2VxFidgVcLFmN9cR4DshZjamhmw3snMOktbZpd0LCKoBQ2PmEXsrzmqTbXfpb5GfXGev6S9BdM+efQq7xx9W1bVDTa1wWFXCC7vOOIWVt4h7jQ7OBB06lsbKa2a8zu738/QWpfXvZ0wXxkcbfvcSlL9ubjpnLghkGd6LlVnIJlU/lOaeNrZyV/PT2COo8E+o0ORK7o3uc0T2clI2J82Jhejs0msju3mtFxvp07dti7A20WkZJCM2WV9vXSGBsJCYnfA135TWgBnhBFMQEYCiwQBKE38HdguyiKscD28//n/LmbgD7AFOADQRB+1/H5QHc1wR7qK+tYNZbD1hdhx/9duWteBcxWG58fKGRkjA9x/q4dL9bXw7Z/Yn13IM8Xb8QpZzRWByfG3D0VQXX5g2sFQeDlWX0ZFevDM+sy2HumneiMTI5s9hJe0csJslh5vOoDAp66k77pH1FX1sQPizOwtpHuLa7T4Sw34/vDA3bHb/YnIGv9LVujr2FF1gomR0ymj3cfmk+fxax0wyO07UJvpYOMaF+Xy+oM9AlxAQSaFN5Uv/0OuiNHsOn1LdY4KZx4etgL5CmVrMj6HMztR+U6okijY/Opcm4dGt6xIGjpMVg+jSyFgv/zcGGcagC2kkjkWBkwo89l3Xta/0BK6vSsOlJEdaOx3W7An+N/Ph2Yd7SKwkwNbj4q3P3aUc2XkJCQ+A3p1LESRbFcFMVj5//dCGQDwcBM4LPzyz4D/nT+3zOBr0RRNIqimA/kAYOv9MavNEnhnqQV1l65gcye4TD0z/a0UumxK3PNq8DmUxVUaA3cNSKi/UVmA6S+C+8MwLJvIU9HxnPA4oSbbQyeDlpCh8f94n0o5DLevzWJGD8XHvziGKfb67Zz8cV19lLerqik2VDHs6pNxNw6nl6nv6Q4u449X+a0+hqX1Op5Wf01QuUpu0K4W9uDpRenL8ZkNfHwwIcBqMstAcAzyr/N9QC9A93a32sHXChg10YMpHbpUgpvv4OcQYPJn3sDFf/6F9rNmzFXVDAmdAzjvPvzkZOc0mM/DSeur9TRUK1v7/It+HTfOeQyoWNB0MID8NkM6tVuPBYUhKfaiz+fjKHCN4n4Qd6onBXdfkaAyb0DUMgFXtt8GoBrOqmvuoAg2LsDi7JqKT1dR3hfH0lmQUJC4ndBt2L3giBEAAOBQ4C/KIrlYHe+gAutPMHApfmakvPHfn6t+wRBSBMEIa26+pfVh1wJUsI9qdQaKa3v2ptRlxj1ODj5wI/P2cUm/4AsS80nwtup/U4tbRm8Pwi2Po85OJmnhsxms0XD46cnoXfyJ3F6/BV7w3NTKVg6bxBqpZz5y45Q1dhOhCZ8OLGjn+EfVVUcqzrO8kHNxCd7EVGwmazUco5tKWyxPKRiK7Msm2DoAohrmbm2iTYOlh/kb3v+xuqc1Vwfez3hbvYZifXF9ginm1/7cyYTAt2o1Bqpbe6aAG1Nk5HVR4p5cnMmJkFkVeA4trzyGSEffoD3/PnIVCrqV39D6WOPkzdmLGfGjePhH92ZmCawfOOPpH6Tw5f/OMjKFw/yzatH0Gk7vm9ds4nVaSXMTAxuf0TR2Z3wxfVYXf14KjaJamMdb8X9nTPpJkSZnKSZCV16trZwd1IwMsaHRoOFASHu+Lh0PVUck+yHzSpiMdukNKCEhMTvhi47VoIguABrgEdFUezoI3hb76KtvApRFBeLopgiimKKr2/XPqX+mlwYyHxF04Eqdxj7DBSm2oUm/2AcL6rjeFE984ZHtNn1hs0Ka+6FZg2m2/7LE8EhbK06wnNBd9OkiUIlM9Fr/C+PVl1KkIeapfMGUdVoZMne/PYXDv8L1waP5jZtM1+cXkn6vaPo7VGCr+YkR9afw9Bstq+rL2JB4zuUqONbDDUubSrlgxMfMHXNVO798V72lu5lbtxcHk1+9OIabY29NsvNp/0U1IUC9vbSgaIoklfVyIe7zjL7w/0MemUbT61JJ6u8EcFdQZyjI+8fq6GyTwp+jz9G+Ocr6HXkMBHffIP3356lvu8UMqpiiNC/gkfVI5zcWoi8NI++PuWYDRYOrM3r8PVceagQvdnKfaOj2l6Q8wN8eSN4RvLeoDkcqD7Gs0OexXXVbkoDRhDVx73D5+8K0/rbI4TXdCKz8HP8I9xw8XJErpARHNe9SQASEhISvxZdmrAqCIICu1O1UhTFtecPVwqCECiKYrkgCIFA1fnjJcClFbAhQOuhYL8z4gNccVLKSSuoY2Zia7HHyybpTji8GH58HmIng0P3BwRfLZalFuDq6MCc9gZU730TCvdhnLGIxwrWsbd0L88MeYYBi3PZ7jWKQWP9kTtc+cbTvsHujE/wY83REv46qVfLMTQXkMngTx/y+MejyTLDi2kv88Ur7xOzYCEHvAdwel8xiRNCsX4zH0G0sav/a8zBxvZzG1mXt45D5YcQEBgWNIxHkx9lXNg4HOU/RVNsBgPNBjlywYbatf00WHygvS4tu1zLiBi7dIPFaiOtsI5tWZVsy66kQGN30PoFu/PYhDgmJPiTEOjK7lW55B6uQO0k57lvT7Hq3qHoGkwUZNSQn26lJDsEqyUIxyAHQiOVHD+7CI+aHFL04Zj259AYOYPTtgkkjAgkKLa1vpPBbGX5/kLG9PJtu34uc519TmJAP7aPfZQl+59nduxsrlMksSttJ9ZoNUnTf7njPLVvAIfOabghJaTzxZcgCALDr4+hud6Ig/J3XcYpISHRg+jUsRLseZxPgWxRFBdecup74E7gtfN/f3fJ8S8FQVgIBAGxwOEruelfAwe5jIFhHlc2YgX2uXaTXoGVs+HIJzBswZW9/q9ERYOBTRnl3DEsou2C5sL9sOtVdP3m8FhNKvvL9/PCsBeYISSyOS8XWbCNflNif7X93TQojC2ZlWzNqmRa/3bm8Dl5oZi7nP98di03hATz+MmXWP7Ck5x67xynNhkYIPscWekRHpLdhsL6Ix+sfpZGcyPBLsEsSFzAzOiZBLq0fW1TQQF6Ry9cXOgw1enj4oivqyPHiurYlFHOtqxKduRUUa8zo5TLGB7jzT2johif4Eege8vIj0+wM5kGK4+PCuWHvcV88sJ+zNVGANx8VPQdHUzEAB8CY9yRy2UE/LCaOyrT0Ucl8EjCxwg33kKlKZldn2dx4wvDWjm53x4vpabJyH2j2ohWnVgF3z0IIYM5N/3fPLvtPvr59OOZIc9Q+eSzlISMJTDCGf+Iy29KuICzowP/njvgsmxjU9qvb5OQkJC4GnQlYjUCuB3IEAThxPljz2B3qFYLgnA3UATMBRBFMVMQhNVAFvaOwgWiKLYjm/37IjnMk/d25tFktHTcHdUFrDYrbx19i5sTbiY4dgJEj4fdr8OAm8Gpi+NCriJfHCzEKoptFzTramHNPTR4hbPAUUdGRRYvDX+JWbGzOPfQE5T7TyQ2yQe1668XnRsd50uQu4qvjhS171gBhKTgO/4l3tz5AncHWXnJYw03eEVy0hjOyt07WR0bTz57UNQpmRQxketjriclIAWZ0HGkzZh3FoPaB0+fzgf+JgS6sSmjgk0ZFXg4KRgX78fEBH9Gxfl2+H3mHWKPIjVvrWAUCkptBiZdG0l8ih9egc6tHLqBI//O7M++4/Nz33Ndn9uJWPQ2NQ++zEnlPZzYkk/ytOiLay+Mr+kT5Maw6Evqk2w2SPvULpIaeQ3Nc5bw6NZ7cJQ7snDMQmxnC8hLq8DQ25OB10YjISEhIdGSTr0HURT30XbdFMD4dmxeAV75Bfu6KiRHeGET4URRPSNjWytud4fSplK+yV3LloIfWTZlKSGTXoaPRtidq6mvd2ir05porjfiG9aJvMGvhMFs5cvDRUxI8CfM+2eOgyjCdw9Roa/hgbAkiupyePOaN5kQPgH9qUxyc0zYopUkTv1133TlMoG5KaG8u+MMxbU6u7hnewy5n6TCVJ4o3cXr7MSaVEbfA/E0Fk9A3ycNQ2E/1t/3CBFeXf+aG/Ly0KtiiAjtfITKgjHR9A1yY0wvP5LCPLqk0wTgH+FK8pRw3HzUGHyVzFl+CIu1mRFBLm0buPjxaOB4dtSn8n/7X2TFtC/p/9RtlH16giPrrcQMCcT9vCO4M6eKs9XNvHNTIoJRC2d3QO6PkLcVmqshdjLi3M94fv+zFGoL+WTiJwQ4B1D87r8oDp+Eh68jEVLBuISEhEQrJOX1SxgY5oEgcEUGMh85I6P6zDxq9Vrmb5lPsZOrvd7qyBK7cnU7mI1Wvl14jDVvHEXf2LVOsivNdydKqW02tS2xcPgT8s9t4Y6IaCpM9Xw04SMmhE8AoHLRIkpDxxAU7YpPyK/vFF4Qs1yd1oFoKNjH5sx8j1vlXsww2DglO4PKdgRBmczMittR6EYQ7tk9J6E5rwirgxr3DjoCLzAkypunpsQzONKry04VgEwuY+ifouk9MoikXj7cOTyCLw8XcaK4vl0bjxGP8ERtHSc1mXyW+RnyidcweLASrBZ2vrXbvkgU2bBjN084b2H6ifvhjSj4Zh7kbILIa+D6JXDTSpblrmJr4VYeT36cwYGD0WdmUpRWSKNzMAMnR3ZrfI2EhIRET0FyrC7BTaWgl7/rL66zOlvdxPPfnQJjMKaS+2g26+zO1aB54KCGrS+0a7v361zqKnVYLTYy93av5r9Bb2bGe/t4fPUJMkoaumV7ckcxq/91hIxdJazYm098gCvDon7mbJSnk7nrRe4MCcXooGDp5KUMDrRLlOmOHacwS4tB6cmAiRHduvflEuyh5po4X1anFXc+6FjljnDDCl6pqmZ3QQGTp4djlTsStOswYR6qbktC1Jecl1poY/jyr8XjE+Pwc3Xk2XUZ7T+vfx9m+CYz2GRj4dGFDP1yKA9Fb8LDsJtSjSOb//kExW/3Z2H1vTxs/QyZTgPDHoK7foAnz8KcT6H/XA5UpvHOsXeYHDGZO3rfAUDNu4sojpyC2sWBuCFSbZOEhIREW0iO1c9IDvfkeFE9Vtvl6U4ZzFYWrDyGSiHn/VuSaNT6MyvgJfQWPfP3PUnx0HvskYFzu1vZ5h6uIHt/OclTwglN8OTU7pI2lcLb48tDRaSXNLA5o4Lp7+1j9of7WX+yrNPh0majlSMb8qmr1LHnq1zG5Vq4wcEFbc0lOlHGJg6su5P5ft44OfmyYurn9PbuffF09bvvUhIxEVcvRyL6/7I0ane4aVAolVoju3O7oIUWOADmLoNxzxE443Y8XG00OcczubTteXztIZpMNNbZo4muPu1oP/0KuKoUvHBdHzLLtHx+sLDddcKwh3ivrJT3gqfxkN8I4nQNfDN0PUp9KSUFw7hLUDAoLJr5KdN5c/AcNkQPIs/NF8t537KsqYyn9jxFlHsULw1/CUEQ0B0/TkVaLhr3XvQfF4qDQurCk5CQkGgLybH6GSkRnjQZLeRUdH++G8ArG7M5XdHIm3MHMKVvAANC3Nl8TMYnE5ZgsBi4S7OXYs8w+PFZuw7UeeordexamUNgtDuxzWmENR6jucHEueNdE081WWws35/PyBgfDj07nuev6011o5GHVx1n5Os7eG/HGTRNxjZts/eXY9RZmDhOQU1gPRoHA4aser544QAbP0inOLuWH767iwedzAS5BLNi2sqLIpkAzQcPUnmqlHrncPqPC21b8+pXYnyCPz4ujqw63Ek68ALx02D0kwgyGX2mxNHoFk7K4VSsTU1dvqepqAi90l5b9Us1nLrLtf0CGB3ny5s/5lKpbUcgNWYiaq8Yrtn3IfcfWsVCTQNrwidzzRQBk6MXd+6ZQaRiGM2Y+TL7S57e+zSzvp/FkJVDuGnDTdzz4z1YbBbeGvMWTgp7TVbNokWURE/FQSmj7+juySJISEhI9CR+Wevb/yDJYfaOvaOFtfQO6l4r+eaMcj4/WMh9o6MYG28XO7xrRCSPfn2Cqlpvlkxawj0/3sM8X1eWncsm7OQqGHgbVrONLUtOIZNBn9zPqfp0C0oEXK97j/QdxV1qKd+QXkal1sjrs/vjplJw98hI5g2PYFdOFcv3F/CfH3N5d0ce0/sHcdeICPoGuwP27rCT24vwtNVg/NuL3HD+ekalO6VBoyg1jaQgvQal4U881+BNXzcjpj0vU+bqitzVBZmzC43bt1MSOxWFo4yEEW2Pg/m1UMhlzEkO4ZO956jUGtpXD28D//7eWFfnovHoh+bjj/F74oku2RnPnsOg8kLpKOCo/m1/hARB4KUZfZj09h7+b0MW792S1HqRTGYfzVN0wN6N6pcAgkAcsO3YehptI3jm4G4S33sPi2ihoKGA07WnyanNIacuhzpDHa+Neo0I9wgAmg8fpjYtk4oRt9JneBAql8sbXyPx/+3deXxU1fn48c8zk31PSMi+sgRC2CSg7EFRXEBUUKGiuGAXl9p+a63a2vqttS71p1ZtrYKouIB75WtFUdSCLMoq+5YASQhkJ2Tf5vz+mEESSDIJZEgCz/v1yovJvfdM7jzczDw559znKKXOBZpYnSA2xJswf0/WHyjhxpEJbW6XXVzJfR9sZnBsEPdekvzj9ssHRvLopzt4beU+Xr1lBPMumcftS2/nlpgY5n/zCPEpV7Hy37kUZpczZN8bmLxNhP/hD5S8/TbRB5axs/wi8vYfbbVekDGGl5dn0jfcj/GNFrG1WoSL+odzUf9w9uaX8fqqA3ywIYcPNuSQFh/MzaMT6FNr5WhhNak7/s2OCVfzQVUQj01KJLy+hujyMtbteou9RT4YjwkcDr+OQlsNMcVbiNmxCq/ibGyVldR4BJA3ehADRkad8UQD4Prhsfzrvxm8vz6HOyf0bnO7/Oo6dnnY8IgeRcGCBwm69lo84uKctqvJ2Eu1VygBYc5LLbhCQqgvd6b35pkvd3NdWgHjmlu4OCbN/tXIkcpa5nm6c5vFxraiOGJemkvYz39Kn+A+9Anuw5ReU056GmMMBc89R27fKzAIgy/S3iqllGqNDgWeQEQYFhfMunZMYK+tt3HXwo0AvDBzaJNK4B5uFm44P46vdxWQWVBOckgy8ybNo87Dh1sDLKxZ8CJbvs4hNvsronyPkvjhB4TMuoHw+39Hz+2f4maxsfnr1oe5Vu4tYufhMuaMTWpxEnbvnv48clUqqx+wDxPml9Vw19sbWbhgC561JfT0PcqfQ8cQeunFxM28lqBZP2HukELuG7qDw6NWc/PfxnHNb4eRMCKWrMDhfNvnl+yd8yp+H6yg+uEF2IwwaELnfOgmhvpyQVIIi9ZmYWvH3Ljskko2ezTQgDv5PYeR9+STbWpXuzeDav9wAjspsQL4eXoSiaG+/PHjrVTXta1M3FvfZVFc30C/Kb0pDerN5kXST2ZiAAAd10lEQVRrKPv661bbVKxcRdnGreREjCJpaFinvmallOoONLFqRlpCMDklVS3PYTnBU0t38UP2EZ6YNqjZeko3nB+Pu1VYsNo+4bhvcF9euWwBSbnhbPyuP/5lWQyfEErCooV4JtmrYPuNG0fgqOFEHl7N3nX5VJQ2Pz8K4OUVmYT5ezJ1iPNhuEBv+zDh1/em8/zFKYTVWog78AUPRl3EkTrDLaMTqWuo4/7l97Nw97vMLj3KI+lP4RGSSGSvQCbNSeXGR0eRdlkCeftKWfz8ZtYvPUj8wB4EhXfeh+7MEXFkF1exKqOozW2yi6vIdrPhH+pFwaCplH+5jIrVq522q87MpMo9CP8zPL+qMU83K49MTWV/USUvfpPh9Pia+gZeXbmfcX3DuPCyJCIS/cnoO439v/sTNZmZzbY51luVlzyJunoLQy523punlFLnOk2smtGeBZm/3pXPy8szmXVBHJcPbL4CeJi/J1MGRfHeumzKqusw9fUEvP0F47bPAhG+77OA6tunIh5NK5WH/+4+orO+wtZgWiy9sOtwGct3F3DzqAQ83dp+p5bVIli2FuFWX0lUopXUKy9m9sh4+kZ4cNdXd7Fk/xJ+XVzCvb2vw9K/6RCRX7An51+ZxE1/HcVFs/sTNyCEEZMT2/yzXWHSgAiCfNxZuDarzW2ySyoJ9nUndWw0BRXe1CQOIu+vj2Hq61tsYxoaKM8uxCZuBPQ4c3cENmdMn1CuHBzFi99ksK+wotVjP96Y++PyNWIR0mf1p97qzd6EKeTccScNR09eJLr862+o3LKVnLiJRPYOJCIx0FUvRSmlzhqaWDVjQFQgnm4W1u1vPbE6XFrNb979gX4R/vzhipRWj715dAIVtQ0sXrKWA7NuZO0nBzgamETqkM1siTvMbZ/exL7SfU3aePbuTfTUi+hRvI2tXx2goe7ksglzV2Ti7W7lhvPb15tQWlDJ/h2lRB9aSd8//o5HrkrlV5OimbN0Dmty1/Dn0mpu9UqAix9p8Tnc3K30GxnJlLuH0DP+9NeMOx1e7lauHhrN0m2HKa5oW2HVYxXb+42MxGIRSibeTs2ePZS8+26Lbepycqiy2oufnuk7Apvzh8n98XSz8MePt2JM88OgNpvh5RWZ9I8MYHRve22yHtF+DJ4YR27IMPKPenDw3nsxDceHFI3NRsFzz1HcfyIV1VaGam+VUkq1iSZWzfBwszA4Joj1WS0nVg02wz2LNlJV28ALPzkPLyd1fQZGBzKnYhspf7yD3AILB+InkTImirG33cH8kloaauwV2jNLmw7LhN51J3FF31FVaWPP+rwm+/KPVvPxpoNclxZDkE/71uVb/85GxNbAwHGReMTFceDoAWZ/Nptdxbt4xhbC1WUV9ppP7p3bK9MeM4bHUddg+HBDTpuOzympIjbYB58ADxIGh5J5yBPPERdQ+PfnaDjSfHXzmoxMqrzsdboCzmANq5b09Pfi3knJrNhTyCebDzV7zH93F7A3v5yfjktsMgdv+BUJ+AV7kjnyTspWrKTg2Wd/3Fe29Auqd+4kp/dkgsJ9SBh45mqTKaVUd6aJVQuGJQSz7WApVbXNTwx+btkevttXzF+uSqV3zxbWbnOoLynh4K9+zbQvXmVnSF82p84hJMqXMdf1Aa9Aeo17gPkHczD11dz2+W1Nkiu34GCSb7oEn8rDbFq8o0mvxGur9lNvM9w6JtG+eO7eL+GjX8CS+2HDAji4HmorTzqfqqM17N5STmTpFg5eM4C7l93NlI+mUFBZwL96pnPhgQ1wxVMQ2ucUo9c5kiP8GRoXxMLvs1rsvTnGZjMcLKkiJsTe65QyJorq8jpqpv+ShrIyCv7xz2bb1WTspcrb3uvjH9L5iRXArAviGRgdyJ8/2c7R6rqT9r+0PIOIAC8mD2o6B8/Dy42x1/XlSIUbRZN/RdHceZR+8h9MQwMFzz9Pecp4io9aGTIxVpevUUqpNtLEqgXD4oKptxl+yDm552J1RhHPf7WHa86LZtqw1u+EK1+5kn1Tr6Lsq68I+fX/sG3Iz6itM0yak4q7h6OX67zZ9Arqw/yiSowx3PrZrWQeOZ5chfxkJglVWykqhsN77OsYVtbW89Z3WVzTz5f43a/BC8PgzWn2qu4bXofFd8PcC+GvUfDcUFh0A3z9GGz/mO+e+5AGcWdL0mp+tupXbC7czO2DbuffaX9g+Jr5MPA6GDyzw2J5Js0cHkdGQYXT+XF5ZdXUNtiIDbZPuI/tH4JfiCd79kHQdddS8vbb1Ozde1K72r0Z1AbH4BPggZtH16g+brUIj16dSmF5DU8v3d1k3+acI6zJLObWMQm4N7NOYeKQUBIG9mBHTR8YPo5Dv/89+f/vaWozMsgdOB1vf3eSz484Uy9FKaW6PU2sWnBeCxPYi8pruGfRRhJCfXlkamqL7W01NeQ99hjZt83B4u9P4juLyIqZSGSNsNSzliJro/lSVjeY9BeSivYzP2IiIsK0xdOYvWQ2L256kR9KtpF6+0VY66tYt8B+19qyr77ggbp/8Les6+HzB8E3zL547r274YGDcPcGuP5NSL8fwlOhYCd7Vj/NY//5DbsyvfCs2M6uPnt5zDuZL2KmcbdfP8I/+S0EJ8Dkp+0LF3dDVwyKxM/TzWkl9uziKoAf7+K0WIT+o6LI3lGC56yfYfHxIe+xx0/q+arJzKQ6ILJLDAM2NigmiBsviGfB6v1sPXh8nci5K/bh7+nGzBHNz5ESEcZe3xcMZA7/KdaQEIrnz6d2wEgO5lkYmB7TZRJIpZTqDjSxakGIrwdJYb5NEiubzfA/7/7Akao6Xph5Hr6eLRfDbCgs5MiHHxF8ww0kvv8exe6RrP1kH/FDQ9ntY3h99f6mDXpPhN4TSVr9Mm9OeIHZA2ZT01DDiz+8yI1LbmRKwYP41WwgO9+TrU9PZvKaGVzlthrL4OvhZyvgtqUw6Fpw87RX3u7RC/pPoX7cvXxxwU3c2ncw10RH4LkznXqPQJJTs3jLLZ7JBzbh8cVD8NZ0KM+H6fPB0981QT0DfD3dmDI4iv9syaW06uRhsWOyi+1DpLHBxyeg9x8ViQjs2V5F2F13UrFyJeXffPPjfmMMNRkZ9lILZ3Dx5bb6zSXJhPjaF2lusBmyiyv5dMshZp4fh79Xy9XSA0K9Sbsigf3bSzH3PoVHQgJ5o2bj5m4hdXz0GXwFSinV/Wnl9VakxQfz+bY8bDaDxSLMXZHJf3cX8MhVqU6Xu3GPjqbXkk9xCw2lqryWpa9sJyDUm0tmp3DVJ4YP1h/kt5f0I9Cn0QfeJX+BF0cRvW4Bv7rsCQBKa0r5LuM/rNn2DiuSlzIoeyTLtqRw6+hDpIaN4uoBFzMyKIoTpxYXVRXxwZ4PeHfXu+RV5hHlG8X9kTdTVxuB1bOMMfc9cbxXqrwA8reBhz9EDe3ACHaOmSNiWfh9Fos3HWyxen52SSUiEN0osfIP8SJuQA92rMwl7X9nUrLoHfIffwK/0aMRDw/qDx2ioaqaqgbPLtdjBfYaZQ9N7s89izbx9vdZ7CuoQICbRyU4bTtkYhy71hxmzapqpr7xIUv/dw0po6Pw9mvfTRFKKXWu0x6rVqTFh1BaVUdmYTkbskr42+e7uCw1glltLG3gFhqKMYZlr++gqryWSben4uHlxuxRCVTVNfDuuhOGq3r2h2E3w9p5ULAb9i4j8MOfc8l7d/LH7ct5qXccYdYcvGU0kXm92V25kQe/fZAJ707g6o+v5sm1T7Jk3xIeWPEAF79/Mc9vfJ6kwCSem/Acn17zKf0+LKfCN5LzrurXtEK7XxgkpUPMsI4KXacaGB1ISmQAi9a2PByYXVxFuL/XSbW/UkZHUVFaS9buo4Q/cD+1Bw5Q/OZbANRkZFDjGYxBukSpheZcOTiK0b178ORnO3lnbRZTBkcRFeT8XK1uFsbPTKasqJp/P70BW4Nh8EWxZ+CMlVLq7KI9Vq04Ns/qq535vL7qABGBXjw+bVCLy8Y054dl2RzYUsTY6/sQFmcfYhsQFciIxBBeX72fW8ckYm18x1X6g7D5PfjXGGioAZ9QGPNrGHYLBMUSGrCNgsV53L4jhcsfXMjO4p2szl3NmkNreGfnO7xhewNfd1+u7Xst1/e7nqRAeyX38hXfsqskDO+e9fS7sHvd7ddeIsLMEbE89PE2tuSUMjDm5MKW2SWVxASfnHDED+qBd4AH27/N5Yo7xuE7biyF//wngVOvtA8DetnvCOzs4qAtERH+PDWVy55dQW2DjTlj2164NTo5mOTzI9j13WGShoYR1FOXr1FKqfbSxKoVvcJ8CfZx54nPdiHA+78YRaB3y3NVTpS37yirP8ogcXAoA9Ob3j146+gEfv7mBr7ckcekAY3uuvILg0sfg63vw5BZkHKlfd6UwzuFlfRvKKfIJFCxfAUp48eT0iOF2wbeRnV9NTuLd9InuA++7r4/tjF1dex5ah4lkTdxwaUJWN3O/o7KK4dE8+inO1i4NouBMQNP2p9TXMn5ST1O2m61Wug/MpKNSw9QXlJD+P33k3nlVAqe/TtgqO1h763sqj1WAL3C/Hhocn/2F1UyIKp91dJHTetNdUVdp1fSV0qp7urs/4Q9DSLCsPhgGmyG+y5NZkhsUJvb1lTVs/SVrfgEenDhTf1P6uWa2D+c6CBvXlu5/+TG590IN318fDK6w/7CCpbuyIehkZT7x7Lz2bcwdccnaHu5eTGk55AmSRVAydtvkyH9cHOD1AnnxvBOoLc7lw+MZPGmXCprmy5RU1tv49DR6iYT1xvrPzoSY2Dn6kN4JiURcsNPOPL++5QvX0FtuH1JGL9gz2bbdhU3jkzgocmtrwbQHJ8ADybfNZge0a3XZlNKKdU8TaycuHV0Inek92LOmKR2tWuos9knq9+Wipfvyb1cblYLN42MZ3VmETsOnbxOW3Ne+XYf7hYL112fgocH7LMkU7LonVbb1BcXk/3SG+SHp5EyNgZPn7b3uHV3M0fEUV5Tf1JF8twjVRgDMc0smA0Q1NOH6OQgdqzKxdgMoXfcgTUoiPq8PGoCIvEL9sTSTE0opZRSSj8dnBjVO5T7Lu2HpZ2Vp30CPLjyniFE9mp5KOb64bF4uVt4fdV+p89XUlHLe+uzuWpoFFE9fBmQHkdB6GCyX3qjxeVXAAqe/TtZISPAYjnnJiOnxQfTK8yXRd83XZg5u+RYqYWW5xCljIniaGE1OTtLsAYGEnbPPQBUuQd1yTsClVJKdQ2aWLmQs0nuQT4eXD00ho82HqTEycLBb313gOo6G3PG2nvOUsdHIxYLWQHntbj8SvX27RR+uJhDsen0Oq9nl54X5AoiwozhcWzIOsLuvLIftx8vDtpyPJKGhOHp68b2lbkABF07nYiHH6YSHwK6YA0rpZRSXYMmVp3sltEJ1NTbWLg2q8VjqusaeG3VAdKTw+gbbr+zMKCHN0lDwjgUn07hoveoycho0sYYw+FH/8rhxAupM24MubhtJSLONtecF427VVjUqBJ7dkklbhYhMrDlBMnN3Ury+RFkbiqgqqwWsVrxv2Y6lWX12mOllFKqRZpYdbK+4f6M7t2DN1YfoL7B1uwxizflUlhew+1jm87zGnRhDHXGnfzoUeQ9+WSTfWVLllCxYSMHe11KZO9AwhNaL2h6turh58klAyL4cGMO1XX2BbWziyuJCvJuWuaiGSljorA1GHauOQzA0aJqgC5ZdV0ppVTXoIlVF3DzqEQOlVazdHveSfuMMcxdkUn/yABG9WpaHiCydxA9YvzI7T+F8v8up3zFCgBsVVXk/e0pjgy+gopqK0Mmnpu9VcfMHB7Hkco6Pt9mT5CyS6paHQY8pkeUHxFJAWz/NhdjDEcL7UOI59qQqlJKqbbTxKoLuLBfT+JCfHh15b6T9n2zu4A9+eX8dFziSXO2RITBF8ZQWuVBWfIY8h5/AlNfT9HcedQdOkROn8sJ7OlN4qATF7w5t4zq1YPYEG/ecVRizymubHXiemMpY6I4klfJoYxSyhw9VjoUqJRSqiWaWHUBVotw08h41u4vYevB0ib75i7PJCLAi8mDoppt22d4OF5+7uQNm0FtRgb5zzxD0SuvUDfpBgoLbAyZGIe0847Gs43FIlyfFsuqjCK25x6lqKKW2BZKLZyo97Bw3L2sbP82l6OFVVjdLfgE6Pp5SimlmqeJVRdx3fBYfDysvNao9MLWg6WsyijiltEJuLdQN8nN3cqAsVFkHxIYOZHiV+aDCNnxl+Dl507yBRHNtjvXXJsWi9UiPP3FLoBml7Npjrunlb7Dw8lYn09BdjkBPbzataSRUkqpc4smVl1EgJc704fF/DhRHWDeikx8PazMGNH6HKnUcTGICPkjb0Q8PPC4+W4O7C4ndXw07h7WVtueK8IDvJiQ3JMvd+QDtLnHCuzDgfV1Ng7uKtGJ60oppVqliVUXMntUArUNNhZ+l0XukSo+2XyIGSPinK5P6BfsSa/zwti9o5qEZd+QFTYKq5uFgeNjWm13rpk54niB1LbOsQLoGR9AaKx9iRedX6WUUqo1mlh1Ib3C/BjfN4w31hxg7opMDPY6V20x+MJYaqvq2fzdEXauOUzyBRE6F+gE4/uGER7gibe7lVC/9sUmZbR9jpsWB1VKKdUaTay6mJtHJ5BfVsOrK/dz+cBIYtrYsxKeGEDPeH/WfrKPhjobQyaeW8vXtIWb1cJvJ/XjhvPj2j1PKvn8CBIGhRI3IMRFZ6eUUups4NbZJ6CaGt8njKRQXzILK7h9bGKb24kIgybE8OVrO0gY2IPgCF8XnmX3NX3YqQ2Peni7ccUdgzr4bJRSSp1tNLHqYiwW4aEpKWw4UMKgmKB2te09LJzcjFIGpevcKqWUUqoziDGms8+BtLQ0s27dus4+DaWUUkopp0RkvTEmrbl9OsdKKaWUUqqDaGKllFJKKdVBNLFSSimllOogmlgppZRSSnUQTayUUkoppTqIJlZKKaWUUh1EEyullFJKqQ6iiZVSSimlVAdxmliJyHwRyReRrY22hYjIFyKyx/FvcKN9D4jIXhHZJSKTXHXiSimllFJdTVt6rF4DLj1h2/3AMmNMH2CZ43tEJAWYAQxwtPmniFg77GyVUkoppbowp4mVMWY5UHzC5qnA647HrwNXNdq+yBhTY4zZB+wFRnTQuSqllFJKdWmnOscq3BhzCMDxb0/H9mggu9FxOY5tJxGRn4rIOhFZV1BQcIqnoZRSSinVdXT05HVpZluzqzwbY142xqQZY9LCwsI6+DSUUkoppc48t1NslycikcaYQyISCeQ7tucAsY2OiwFynT3Z+vXrC0XkwCmeS3uEAoVn4Od0Vxof5zRGrdP4OKcxap3Gp3UaH+fORIziW9pxqonVYmA28Ljj348bbX9bRJ4GooA+wPfOnswYc0a6rERknTEm7Uz8rO5I4+Ocxqh1Gh/nNEat0/i0TuPjXGfHyGliJSILgXQgVERygD9hT6jeFZHbgCzgWgBjzDYReRfYDtQDdxpjGlx07koppZRSXYrTxMoYM7OFXRe1cPyjwKOnc1JKKaWUUt3RuVZ5/eXOPoEuTuPjnMaodRof5zRGrdP4tE7j41ynxkiMafamPaWUUkop1U7nWo+VUkoppZTLdNnESkQudaw3uFdEji2Zc62IbBMRm4icNONfRNaLiIeIDBORLY62z4mIOPaPE5ENIlIvItObaf+ZiESLyF2OtkZEQhvt/62IbHJ8bRWRBhEJcWUcWuKK+DiOuU5Etjue5+0T2neb+DjO53Ri9KiIZItI+Qn79Rpycg05jpvueO1pJ2x3Fp9AEfk/EfnBcR63uOr1t4WL3ofiRWSZiGwWkW9EJOaE9t0mRi6Kz/843oM2O+IUf0J7Z/EJFpGPHO2/F5FUV8ehNS6K0TON3kd2i8iRE9p3mxidZnxaep/u3GvIGNPlvgArkAEkAR7AD0AK0B9IBr4B0k5okwAsdjz+HhiJvWDpEuCyRscMAhYA009o7w1873g81HHsfiC0hXOcAnx1lsWnD7ARCHZ837M7xqeDYnQBEAmUN3OMXkMtXEOOff7AcmBN4+doS3yAB4EnHI/DsC+n5XE2xQh4D5jteHwh8EZ3jJEL4zMB8HE8/gXwTjvj8zfgT47H/bCva3vGrx9X/541Ov5uYH53jFEHxKel9+lOvYa6ao/VCGCvMSbTGFMLLAKmGmN2GGN2tdDmMuAzsRcsDTDGrDb2qCzAsZahMWa/MWYzYGumfTr2/0SMMRuNMfudnONMYGH7XlaHcUl8gNuBfxhjSgCMMfmN2qfTfeIDpxEjAGPMGuNYtqkxvYacXkMAjwBPAtUntE/HeXwM4O/4y9wPe9JQfwqvryO4KkYp2BevB/ga+xqrx6TTfWLkqvfpr40xlY7j12AvNH1MOs7j82N8jTE7gQQRCT/1l3laXPl7dsyJ7yPpdJ8Yuep9ulOvoa6aWLV5zcFGLsUe7GjH8e1pC43+s5wRER/Hz/ugLce7gKvi0xfoKyIrRWSNiFza6LjuFB84vRidqu4UI5dcQyIyFIg1xnzSTPu2xOcF7H+t5gJbgHuMMc0lsWeCq37PfgCmOR5fjT1J6uH4vjvF6Ey8T9+GvafmmLbE5wfgGgARGYG9QnZMqy1cx6UxcgxxJQJfNdrcnWJ0Jt6nz/g11FUTqzavOQggIh5AjDEms71tGxkNfNu202MKsNIYU9zG4zuaq+Ljhn04MB37X0HzRCTIsa87xQdOL0anqjvFqMOvIRGxAM8Av2nhadoSn0nAJuwrNwwBXhCRACdtXMVVv2f3AuNFZCMwHjjI8R6n7hQjl75Pi8gsIA37sMwxbYnP40CwiGzCPky2kc7r9XT1Z9kM4H3TtBB3d4qRS9+nO+saOtUlbVytvWsOjuV4oHJomlk6Xa9QRJKAbEdXZFvMoHOHuVwVnxxgjTGmDtgnIruAPiJSRPeKD5xejNpNryFysc+tSgW+ccyxjQAWi8iV2Ier2hKfW4DHHUMfe0VkH/Y5Dk6XxnIBl/yeGWNyOf7XsB8wzRhT2o5rqKvEyGXv0yIyEfg9MN4YU+PY1qb4GGOOYo8RjuHSfY6vzuDqz7IZwJ3HvumGMXLZ+3RnXkNdtcdqLfYP9ERHhjoD+zqELbkUR1efY7y1TEQucATkJo6vZdiS9gzhBGL/K9PZc7qSq+Lzb+yT/nDcIdEXyKT7xQdOI0anqLvFqMOvIWNMqTEm1BiTYIxJwD634UpjzDraHp8sHKs6OOY0JGO/BjuDS37PRCTU0bsH8AAw3/G4u8XIVfEZCryE/dppPM+zTfERkSDH+QDMAZY7Pig7g8s+y0QkGQgGVjdq391i5JL36U6/hkwn3S3h7Au4HNiN/Y6B3zu2XY09w60B8oDPHdvXAt6N2qYBWx1tX+B4IdThjvYVQBGwzbH9/4CERu1/6TiuHnv2PK/RvpuBRWdpfAR4Gvtaj1uAGd01Ph0Qoycdx9kc/z6s15Dza+iE5/8Gxx09bY0P9uGtpY7rbysw62yLETAd2ON43nmAZ3eNkYvi86Wj3SbH17E7wNoan5GO+O4EPsRxl/PZFCPHvoex91w2/lndLkanGZ+W3qc79Rrq9pXXxV4DZq4x5rJTbO+Jfa7LWblauMbHOY1R6zQ+zmmMWqfxcU5j1LruFJ9un1gppZRSSnUVXXWOlVJKKaVUt6OJlVJKKaVUB9HESimllFKqg2hipZRSSinVQTSxUkp1GyLSQ0Q2Ob4Oi8hBx+NyEflnZ5+fUkrpXYFKqW5JRB7Gvqr9U519LkopdYz2WCmluj0RSReRTxyPHxaR10VkqYjsF5FrRORJEdkiIp+JiLvjuGEi8l8RWS8in4tIZOe+CqXU2UATK6XU2agXcAUwFXgT+NoYMxCoAq5wJFfPA9ONMcOwLyvzaGedrFLq7NFVF2FWSqnTscQYUyciWwArx9cH2wIkYF9fLxX4wrFgtBU41AnnqZQ6y2hipZQ6G9UAGGNsIlJnjk8mtWF/3xPs6zyO7KwTVEqdnXQoUCl1LtoFhInISAARcReRAZ18Tkqps4AmVkqpc44xphaYDjwhIj8Am4BRnXtWSqmzgZZbUEoppZTqINpjpZRSSinVQTSxUkoppZTqIJpYKaWUUkp1EE2slFJKKaU6iCZWSimllFIdRBMrpZRSSqkOoomVUkoppVQH0cRKKaWUUqqD/H+ANztDiWTFggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply all the windows on given DataFrame \n",
    "sales_data['boxcar']=sales_data.Sales.rolling(3, win_type ='boxcar').mean()\n",
    "sales_data['triang']=sales_data.Sales.rolling(3, win_type ='triang').mean()\n",
    "sales_data['hamming']=sales_data.Sales.rolling(3, win_type ='hamming').mean()\n",
    "sales_data['blackman']=sales_data.Sales.rolling(3, win_type ='blackman').mean()\n",
    "#Plot the rolling mean of all the windows\n",
    "sales_data.plot(kind='line',figsize=(10,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining cointegration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Self ADF (-6.896689349349742e-16, 0.9585320860600559, 0, 308, {'1%': -3.45176116018037, '5%': -2.870970093607691, '10%': -2.571794416006072}, -21533.11365547772)\n",
      "ADF sine with noise (-4.091294292410859, 0.0010011179783234881, 12, 296, {'1%': -3.452636878592149, '5%': -2.8713543954331433, '10%': -2.5719993576515705}, -1900.7864945394786)\n",
      "ADF sine vs cosine with noise (-19.959621318125926, 0.0, 16, 292, {'1%': -3.4529449243622383, '5%': -2.871489553425686, '10%': -2.572071437887033}, -11147.300817339134)\n",
      "Sine vs sunspots (-6.724269181070102, 3.4210811915549028e-09, 16, 292, {'1%': -3.4529449243622383, '5%': -2.871489553425686, '10%': -2.572071437887033}, -1102.5867415291168)\n"
     ]
    }
   ],
   "source": [
    "# Import required library\n",
    "import statsmodels.api as sm\n",
    "import pandas as pd\n",
    "import statsmodels.tsa.stattools as ts\n",
    "import numpy as np\n",
    " \n",
    "# Calculate ADF function    \n",
    "def calc_adf(x, y):\n",
    "    result = sm.OLS(x, y).fit()    \n",
    "    return ts.adfuller(result.resid)\n",
    "\n",
    "# Read the Dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data.values\n",
    "N = len(data)\n",
    " \n",
    "# Create Sine wave and apply ADF test    \n",
    "t = np.linspace(-2 * np.pi, 2 * np.pi, N)\n",
    "sine = np.sin(np.sin(t))\n",
    "print(\"Self ADF\", calc_adf(sine, sine))\n",
    "\n",
    "# Apply ADF test on Sine and Sine with noise \n",
    "noise = np.random.normal(0, .01, N)\n",
    "print(\"ADF sine with noise\", calc_adf(sine, sine + noise))\n",
    "\n",
    "# Apply ADF test on Sine and Cosine with noise \n",
    "cosine = 100 * np.cos(t) + 10\n",
    "print(\"ADF sine vs cosine with noise\", calc_adf(sine, cosine + noise))\n",
    "\n",
    "# Apply ADF test on Sine and sunspots dataset\n",
    "print(\"Sine vs sunspots\", calc_adf(sine, data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decomposing time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "# Read the dataset\n",
    "data = pd.read_csv('beer_production.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Decompose the data\n",
    "decomposed_data = seasonal_decompose(data, model='multiplicative')\n",
    "# Plot decomposed data\n",
    "decomposed_data.plot()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autocorrelation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    "\n",
    "# Calculate autocorrelation using numpy\n",
    "dy = data.SUNACTIVITY - np.mean(data.SUNACTIVITY)\n",
    "dy_square = np.sum(dy ** 2)\n",
    "\n",
    "# Cross-correlation\n",
    "sun_correlated = np.correlate(dy, dy, mode='full')/dy_square\n",
    "result = sun_correlated[int(len(sun_correlated)/2):]\n",
    "\n",
    "# Diplay the Chart\n",
    "plt.plot(result)\n",
    "# Display grid\n",
    "plt.grid(True)\n",
    "# Add labels\n",
    "plt.xlabel(\"Lag\")\n",
    "plt.ylabel(\"Autocorrelation\")\n",
    "# Display the chart\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f7f621ec910>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import autocorrelation_plot\n",
    "# Plot using pandas function\n",
    "autocorrelation_plot(data.SUNACTIVITY)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Auto Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Lags: 15\n",
      "Model Coefficients:\n",
      " const              9.382322\n",
      "L1.SUNACTIVITY     1.225684\n",
      "L2.SUNACTIVITY    -0.512193\n",
      "L3.SUNACTIVITY    -0.130695\n",
      "L4.SUNACTIVITY     0.193492\n",
      "L5.SUNACTIVITY    -0.168907\n",
      "L6.SUNACTIVITY     0.054594\n",
      "L7.SUNACTIVITY    -0.056725\n",
      "L8.SUNACTIVITY     0.109404\n",
      "L9.SUNACTIVITY     0.108993\n",
      "L10.SUNACTIVITY   -0.117063\n",
      "L11.SUNACTIVITY    0.200454\n",
      "L12.SUNACTIVITY   -0.075111\n",
      "L13.SUNACTIVITY   -0.114437\n",
      "L14.SUNACTIVITY    0.177516\n",
      "L15.SUNACTIVITY   -0.091978\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.8/site-packages/statsmodels/tsa/ar_model.py:691: FutureWarning: \n",
      "statsmodels.tsa.AR has been deprecated in favor of statsmodels.tsa.AutoReg and\n",
      "statsmodels.tsa.SARIMAX.\n",
      "\n",
      "AutoReg adds the ability to specify exogenous variables, include time trends,\n",
      "and add seasonal dummies. The AutoReg API differs from AR since the model is\n",
      "treated as immutable, and so the entire specification including the lag\n",
      "length must be specified when creating the model. This change is too\n",
      "substantial to incorporate into the existing AR api. The function\n",
      "ar_select_order performs lag length selection for AutoReg models.\n",
      "\n",
      "AutoReg only estimates parameters using conditional MLE (OLS). Use SARIMAX to\n",
      "estimate ARX and related models using full MLE via the Kalman Filter.\n",
      "\n",
      "To silence this warning and continue using AR until it is removed, use:\n",
      "\n",
      "import warnings\n",
      "warnings.filterwarnings('ignore', 'statsmodels.tsa.ar_model.AR', FutureWarning)\n",
      "\n",
      "  warnings.warn(AR_DEPRECATION_WARN, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "# import needful libraries\n",
    "from statsmodels.tsa.ar_model import AR\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from math import sqrt\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "\n",
    "# AutoRegression Model training \n",
    "ar_model = AR(train.SUNACTIVITY)\n",
    "ar_model = ar_model.fit()\n",
    "\n",
    "# print lags and \n",
    "print(\"Number of Lags:\", ar_model.k_ar)\n",
    "print(\"Model Coefficients:\\n\", ar_model.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 31.178460983500255\n",
      "MSE: 1776.9463826165686\n",
      "EMSE: 42.15384184883471\n"
     ]
    }
   ],
   "source": [
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = ar_model.predict(start=start_point, end=end_point, dynamic=False)\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.SUNACTIVITY, pred)\n",
    "mse = mean_squared_error(test.SUNACTIVITY, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vxZw5c9Da2ornnnsO//u//wsAePrpp/HEE0+gpaUFTU1NcUU0TLSWX/3qV5g3bx5aWlqQl5eHyy67LOnXNBoWy6Wfadrb2zkNi5Q/S/7zHbTWFeKhmxbEdf9v/N927LOOYOP3L0zzygiCIOTB/v37MXfuXKmXQaSQWP+njLHtnPP2iR5DlSsiLjjn6BnxxGVmF5lfa8Fxmxt2tz+NKyMIgiAIeUHiioiLIbcfvkBoygDRaJprCgGA8q4IgiCInGJKccUYe5Ix1scY2xN17DnG2M7w1zHG2M7w8ZmMsdGo2x6d+MxENiEGiMbruQLGTO0dZGonCIIgcoh4ohjWAvgNgD+KBzjnN4h/Zoz9N4Do0sQRznlrqhZIyIOecMZVIpUri1GLGSVG7CZTO0EQOUS8UQWE/EnWlz5l5YpzvgnAYKzbmPDTcz2APyX17ETW0DMiBoienlcyGc21hbRjkCCInMFgMMBmsyX9pkzIB845bDZbUqnt0w0RvQBAL+f8UNSxBsbYxwBGANzHOX9vms9ByIAeuwcqBpQWTB0gGk1zjQV/2dWNAacXpQX6NK2OIAhCHtTW1qKzsxP9/f1SL4VIAQaDIanU9umKq5twatXKCqCec25jjC0E8ApjrIlzPjL+gYyx2wHcDiBmxgUhL6x2D8pNBmjUie2BmF8rhonaceHs8nQsjSAIQjZotdrIWBgid0l6tyBjTANgFYDnxGOccy/n3Bb+83YARwCcHevxnPM1nPN2znl7WVlZsssgMkSP3ZOQ30qkqdoMxkC+K4IgCCJnmE4Uw0UADnDOO8UDjLEyxpg6/OczAMwC8On0lkjIgUQzrkRMBi3OKM0n3xVBEASRM8QTxfAnAFsAzGaMdTLGvha+6UacbmRfAqCDMbYLwAsA7uScxzTDE9lFj92DigRiGKJpri2kGYMEQRBEzjCl54pzftMEx1fHOPYigBenvyxCTjg8fji9gaQqV4CQd/Xyx13oHUleoBEEQRBEtkAJ7cSUJJNxFU2zaGqn1iBBEASRA5C4IqYk2YwrkaZqC1QM6Oik1iBBEAShfEhcEVNiFStXSbb08nRqnF1hQgfNGCQIgiByABJXxJSIbcFyc/IhoPNrLNjdaafUYoIgCELxkLgipqRnxIOSfB0MWnXS52iutcDm8qE7LNQIgiAIQqmQuCKmZDoxDCLzawsBALvJd0UQBEEoHBJXxJRY7ckFiEYzp9IEjYpRmChBEASheEhcEVPSYx9NOoZBxKBVY3alCbvJ1E4QBEEoHBJXxKR4/EEMuf3TrlwBgu+qg0ztBEEQhMIhcUVMSm844yoVyerNtYWwj/pxYtA97XMRBEEQhFwhcUVMiphxlWyAaDTza4SkdvJdEQRBEEqGxBUxKWLlarqeKwA4u8IEnUZFviuCIAhC0ZC4IibFOs25gtHoNCrMrTLTGByCIAhC0ZC4Iialx+6BSa9BgV6TkvM111iwp2sEoRCZ2gmCIAhlQuKKmBRrCmIYoplfa4HTG8BRmytl5yQIgiAIOUHiipiUnhFvSsVVc61gat9NpnaCIAhCoZC4Iialxz6KyhTEMIicVVYAg1ZFOwYJgiAIxULiipiQQDCEfoc3JQGiIhq1CvOqLWRqJwiCIBQLiStiQvqdXoQ4UJmCjKto5tdasLd7BIFgKKXnJQiCIAg5QOKKmJCxANHUVa4AwXc16g/iSD+Z2gmCIAjlQeKKmJAee+pG30RzRmkBAOA47RgkCIIgFAiJK2JC0lW5qio0nHJ+giCUx8sfd+LNPVapl0EQkpCaZEhCkfSOeKDXqFBo1Kb0vKX5emjVjMQVQSiYh985AofHjxWNlVCrmNTLIYiMQpUrYkKsdg8qLQYwltoLo0rFUGkxwGofTel5CYKQD/0OL3pHvNh61Cb1Uggi45C4IiYk1RlX0VSZ82AdpsoVIS8GXT70jXjAOY1nmg7eQBD2UT8A4C+7uiVeDUFkHmoLEhNitXvQPqMoLeeuKjRg+/GhtJybIJLl0l9tQp/DC5Neg4ayfJxRmo8zygpwRlk+zigtQENpPvJ0aqmXKXtsTh8AQK9RYd3uHty/sgl6Db1uRO5A4oqISSjE0TfiTXnGlUiVJQ+9I1aEQhwq8mMQMmDUF0Sfw4sLZ5ehvtiITwdc+MexIbyy89TKy8qWajx00wKJVpkdDDi9AIBrF9bima0nsOngAFY0Vki8KoLIHCSuiJgMun3wBUOoNOvTcv7qQgP8QY4BlxflpvS0HgkiEWwuQRBc0lSJG8+tjxwf9QVxdMCFowMuvLWvB6/u7Ma3P3cWZlWYpFqq7Ol3CK/lNQtq8MZuK17b1U3iisgpyHNFxETMuEpn5QoA+a4I2TDoElpZJQWnfqDI06nRWG3GFc1V+JcrG6FRMby4o0uKJWYNYuWqymLA5fOr8Pd9PXB5AxKviiAyB4krIiY9acq4EhHPSzsGCblgC4ur4nzdhPcpLdBj2ewyvPxxJ4IhMr1PxEDYc1VaoMfVrTXw+EP4+75eiVdFEJkjZ8TV4T4HbOFPU8TUWEfEylV6xVU3Va4ImSCasEsmEVcAcG1bLXpHvPjg8EAmlpWV9Du8MBk0MGjVaJ9RhGqLAa/RrkEih5hSXDHGnmSM9THG9kQdu58x1sUY2xn+ujzqtn9mjB1mjH3CGLskXQtPhK7hUVz0P5vwwvZOqZeSNfTYR6FWMZQWpMdzVZyvg16josoVIRsGw56rkoLJxdXn5pbDkqfFSzvoejIR/U4vysLXDpWK4aqWamw62I+hcHWQIJROPJWrtQAujXH8Qc55a/hrHQAwxhoB3AigKfyY3zLGJN9/W1OYh5ZaC/7SQZ+c4sVq96DCpE9bsjJjDFUWA6W0E7LB5vRBp1ahQD/5Ph+9Ro2rWqrw5t4eODz+DK0uu+h3eE/5YLaytRqBEMc6GodD5AhTiivO+SYAg3Ge72oAz3LOvZzzowAOAzh3GutLGVe1VGNP1wg+7XdKvZSsoHfEk7aWoEiVJY/EFSEbbC4fSgp0cU0kuLatFh5/CG/s7snAyrKPAacXZaYxcdVYZcZZ5QV4dSd9wCVyg+l4rr7FGOsItw3FpMkaACej7tMZPnYajLHbGWPbGGPb+vv7p7GM+LiiuQoA8NcO+uQUD+Lom3RSZTHAOkxtQUIeDLp8k5rZo2mtK8QZpfl4gVqDMREqV2OvJWMMK1uq8dHRQXTT7zyRAyQrrh4BcCaAVgBWAP8dPh7rI1/MLTWc8zWc83bOeXtZWVmSy4ifKksezp1ZTKMY4oBzjh67B5Xm9MQwiFQVGtDr8NKuK0IW2JzeuMUVYwzXLqzFR0cHcXLQneaVZRcefxAOT+CUyhUghK8CwF/JnkHkAEmJK855L+c8yDkPAXgMY62/TgB1UXetBSCb36SrWqpwqM+JT3ocUi9F1ji8Abh9wbTFMIhUWfIQDHH0Oag1SEiPzeVLaAPH5xfUgDHgJcq8OgUx0mL8azmzNB8tdYXUGiRygqTEFWOsKuqv1wAQdxK+BuBGxpieMdYAYBaAj6a3xNRx2fwqqBgNEp2KsQDR9Iqr6kIx64rEFSE9Nmf8bUFA2Cjz2TNK8NLHnTToOQoxnT2WUF3ZUo293SM43EfeV0LZxBPF8CcAWwDMZox1Msa+BuA/GWO7GWMdAC4E8F0A4JzvBfBnAPsAvAngm5zzYNpWnyClBXosOqsUf+nopovhJFgzJK4opZ2QC6O+IEb9wSljGMZzbVstjtvcNIQ8ioGwuBrfFgSAq5qrwBgo84pQPPHsFryJc17FOddyzms5509wzr/MOZ/POW/mnK/knFuj7v8A5/xMzvlszvkb6V1+4lzVXI3jNjd2d9mlXops6QlnT1Wa029oByilnZAeca7gVAGi47l0XiWMOjVeJGN7hP5wWHNpDHFVbjbg/DNL8NrOLvqASyianEloF7mkqRJaNaPW4CT02IWLY0WaxZUlT4s8rZpS2gnJEdPZi/MTC83N12tw6bxK/HWXFR6/bIr0kjIQaQvGFqorW6pxbIoPuJxzvLnHii89vhXHBlxpWSdBpJOcE1cWoxZLZpXhrx1WhGiXWkx6RkZRWqCDTpPeHw/GGKoKDVS5IiRnbGhzYpUrAPhCWy0c3gDNzgvT7/TCbNBAr4mdH31pUxV0atWExvbDfQ58+YmPcOf/7cD7hwfwwREaM0RkHzknrgAhUNRq92D7CfJJxCITGVci1RQkSsgAcYdbom1BAPjMGSWothioNRhmfIDoeCxGLZbNLsNfdnWfEsPi8PjxwOv7cOmv3kNH5zD+9cpGqBjQO0IzYYnsIyfF1UWNFdBrVNQanIBMZFyJCCNwqHJFSIs41D2R3YIiKhXDNW012HSwH30j9EFhwDF1pMXK1mr0ObzYetSGUIjjxe2d+Nx/b8Tj7x/FFxbW4p17l+GrixtQWqCn15TISnJSXBXoNVg+txzrdlsRCIakXo7s6BnxpD3jSqTKYkCfwws//T8QEjLo8kGnmXqu4ESsaqtFiAOv7KTMq36nN6aZPZrlcyqQr1Pjdxs/xRce3YzvPb8LNYV5eOWuRfjFtc0oCYuzCrMBvSSuiCwkJ8UVIOwaHHD6sPVovGMTc4NRXxDDbn/G2oJVhXngHHQBJSRlwOlDSX58cwVjcWZZAVrrCvHidtoFN+DwomyKylWeTo1Lmiqx8WA/Tgy68V9faMZL3zgfLXWFp9yvwqxHD7UFiSwkZ8XVhXPKka9TU2twHD1hkZPuGAYRsULWQ74rQkIGXd6kzOzRXLuwFp/0OrC3eyRFq8o+PP4gHN7TR9/E4rsrzsaPLp+Lt+9dhuva66BSnS5sy80GagsSWUnOiiuDVo2Lmyrxxp4e+ALUkhIZcE4cAJgOqgsFb1c3iStCQoShzdP7mb+qWdgFl8vGdjGdfarKFQDUFRtx25IzYDZoJ7xPhckAm8tH12gi68hZcQUIswbto368f7hf6qXIBqc3AAAoMCTnPUmUSJDoMJnaCekQ24LTodCow/K55XhtZ3fOegjHAkSn91qKVJj1p5yXILKFnBZXi88qgyVPi7/ssk595xzBFRZX+brMiCuTQYsCvYbiGAhJGXRNX1wBwNWt1bC5fPj4xHAKVpV9REbfFKTGVlAR/vBFnkwi28hpcaXTqHDZvEq8tbeH0pXDRMSVPnYAYDqoshjQTZUrQiLcvgBG/UEUT9NzBQDtM4sBADtP5maG3kA46T5llSuTIK7Id0VkGzktrgAhUNTlC+KdA31SL0UWOL2CyEx2S3oyVBXmRYz0BJFpxNE3pdP0XAHCcPjaojzsPJmblSvRc1WSgtcSGGsL0oYXItvIeXH1mTNKUFqgx187qDUIRFeuMieuqi0Gmi9ISIY4+iaZANFYtNYVYmeutgWdXhQatSkbnVVk1EGrZuh1kOeKyC5yXlypVQxXzK/EhgO9ETN3LuPyBqDTqKBVZ+5Ho8qShwGnF94AtWaJzGNzhdPZU9AWBARx1W335GQrq9/hnTKdPRFUKoZyEwWJEtlHzosrALiypRoefwgb9tPgVac3kNGWIDC2Y7DXTp9OicyTyrYgACyoF4IwP87B1uCAc+oA0UQpN+vRR0GiRJZB4grAwvoiVFkM+Nm6/fj5G/ux7djgKQNFcwmXN5BRMzsAVBUK4qqbZgwSEhBpC6aoctVUbYFGxXLSdxXP6JtEqaQROEQWktkShUxRqRj++/oWPPLuETzx3lH8buOnKM7X4XNzynHR3ApcMKs0ox4kKXF6gxmLYRCpsghBomRaJaTAFp4rmK9LzYcKg1aNuVXmnPRdxTP6JlEqzAZ8cHggpeckiHSTG4ohDs4/sxTnn1mKEY8fmw72Y/2+Xry1twcvbO+ETqPCojNLsLK1GtcsqJV6qWnFJUFbsJoqV4SE2Jw+lE5jrmAsWusK8dKOTgRDHOoYY12UiNsXgMsXTFkMg0i5WY8RTwCjviDyUiSACSLdkLgah9mgxZXN1biyuRr+YAjbjg1h/f5evLmnB999bhcumFWWUsOm3HD5AigypvbiOBVGnQaWPC2stGOQkACby5uylqBIS10hnvrwOI70O3F2hSml55YrA46wdy3VlSvTWJDozNL8lJ6bINIFea4mQatW4bNnlnHVCeQAACAASURBVOBfrmzEv1zZCED5rSspDO2AYGq3UuWKkAAhnT21gqC1TjC151JrsD9Nc0krzJTSTmQfJK7ipDJHxjBIYWgHxJR2Zb+2hDyxpWCu4HjOKM2HyaDJqR2DiQxtTgQxSJSyrohsgsRVnESSghUvroKSmPcppZ2QCpvLm7IAURGViglhojkkrgbSVLkqN9MIHCL7IHEVJ2UFejAG9Co4b4VzDpdPmrZgtcWAQZePZjwSGcXtC8DjD6EkDT7K1rpCfNIzArcvN8KJxcpVqoWq2aBBnlat+K4BoSxIXMWJRq1CaYEevQr2XLl9QXCe2dE3ImIcg1XBry8hP8QA0VS3BQFBXIU4sLvTnvJzy5EBp1ABTPV0B8YYKsx69Cj4gy2hPEhcJUCl2YBeh3Lf/KWYKygiprRbh8nUTmQOW4rnCkYTMbXnSGtwwOlFaYp3XYqUU5AokWWQuEqACrNe0bsFxdmKBVIY2guFylW3gl9fQn4MhucKlqRBFJQU6FFXnJcz4irVcwWjqTAbyHNFZBUkrhKgwmxAn4J3rLi8gt8p0wntwFjlqofiGIgMMhBpC6ZHFLTWFeWMuBpw+lJuZhepMOnRO+IF57k5lozIPkhcJUCFWTBdewPKNF27fGLlKvPiyqBVozhfR5UrIqOIcwXTUbkCgJZaC6x2T060tNJduRr1B+Hw5sbmACL7IXGVAGIcg1IntEvpuQLCQaLkuSIyyKDLB71GBWOaxqosqM8N35XLG8CoP5i+ypWF4hiI7ILEVQKIScF9CjW1O+UgrqhyRWSQAacXJSmeKxhNU7UFGhVTvLgSYxjSVrkKi7YeuzI/2BLKY0pxxRh7kjHWxxjbE3XsvxhjBxhjHYyxlxljheHjMxljo4yxneGvR9O5+Ewjiiul/oKLnisp2oKAEMfQTZUrIoMMunxpybgSMWjVmFtlVvwYnHQFiIrQCBwi24incrUWwKXjjv0dwDzOeTOAgwD+Oeq2I5zz1vDXnalZpjyoVPgv+FhbUJrJ81WFBox4ApF1EES6GXT50hLDEE1rXSE6OocRDCnXjC2Kq/RFMYgjcJR57SWUx5TiinO+CcDguGNvcc7Fd8APAdSmYW2yo9CohU6jUqy4irQFJdgtCADVFCRKZBib05c2M7tIa10hXL4gDvc50/o8UpKuuYIiRp0GJoNGsX5XQnmkwnP1VQBvRP29gTH2MWNsI2PsghScXzaIScFKFVcubwBGnRoqVXr8J1MRCRKlOAYiA3DOYXN505LOHk1rxNQ+lNbnkZJ+pw+MpSeMVaSCgkSJLGJa4oox9iMAAQBPhw9ZAdRzzhcAuAfAM4wx8wSPvZ0xto0xtq2/v386y8goFSaDYgcMu3wByczsQNQInGFlvr6EvHD7gvD4QyhOU8aVSENJPswGjaJN7f0OL4qNOmhSPPomGmEEDl0biOwg6d8ExtgtAK4E8EUeTnbjnHs557bwn7cDOALg7FiP55yv4Zy3c87by8rKkl1G6ujtBRyOKe9WYTEotjTt9AYlM7MDQIVFeJPrpsoVkQHSnXElolIxtNQV4mMFm9oHnN60mdlFhJR2ZV57CeWRlLhijF0K4AcAVnLO3VHHyxhj6vCfzwAwC8CnqVhoyunqAp55BrjjDmD2bKCyEli1asqHiZUrJSYFu7wByczsAKDXqFFaoOwRQ4R8EOcKprstCAi+q4O9DsVu1khngKiIMCHDg5CCNwYQymHKMgVj7E8AlgEoZYx1AvgxhN2BegB/D+fDfBjeGbgEwE8ZYwEAQQB3cs4HY54405w8CWzcKHy9+y5w+LBw3GwGliwBqquF29xuwGic8DSVFj3cviCc3gBMBm1m1p4hnN6AZGZ2kepCA6W0ExnBFt7hlu7dgoAgrkIc2NNlx3lnlKT9+TLNgNOLhtL8tD5HhUkPf5BjyJ3e+AyCSAVTvpNyzm+KcfiJCe77IoAXp7uolNPVBdTXC38uLBTE1F13AUuXAi0tgFoNvP66ILo+/BD43OcmPFV03orSxJXLG4jETUhFlcWAT/tdkq6ByA3EylW6Ky6AIK4AIaldaeKKc44BpzdtMQwiY9deL4krQvZIW6bIFDU1wJo1wDnnAPPnC2JqPIsXAyqVUL2KS1x5cVa5KV0rlgShLSjtj0SVJQ8fHLZJugYiN7CFhzZnonJVUqBHXXGeIk3tTm8AHn8o7SK1XLz2OjxoRMx9UgQhG3JDXAHAbbdNfrvFArS2CuJqEsZS2pXXunJ6gzIQVwY4vQE4PH7FVQYJeTHo8sKgTd9cwfG01hVh2zF5uCRSyUBYpKbf0B4OElXgtZdQHjRbMJqlS4W2oGfiX94KBScFu7wBFEhoaAeAqkIKEiUyg83lQ0m+Pm1zBcfTWlcIq92juKymdM8VFCk3jXUNiFNxeQN4assx+AIhqZdChCFxFc3SpYDXC3z00YR3EZOClfbpKRjiGPVLX7mqDgeJ0oxBIt3YnOkffRON6LtSWiRDuucKiug0KpTk6xT5wXa6vN5hxb+8uhePvSfPzfm5CImraC64AGBsytZgpdmguE9PLp+0o29EqHJFZAphaHPmxFVTtRlaNVOc7ypTlStA8F31Kazylwo6uoSfqYc2HMLJQfcU9yYyAYmraIqLgebmuHxXSvv0NDa0WVpxVW7SgzHASpUrIs1kYmhzNAatGnOrzIobgzPg9EKV5tE3IsL4MWV9sE0FuzvtOLuiAGoVw/2v7VVkDmO2QeJqPEuXAps3Az7fhHepMBsU1xYcE1fSeq60ahXKTXqqXBFpRYwPyESAaDQttYXY3WlHUEFBmANOL4rz9VBnYCZphYnmC47HHwxhf48Dy2aX47sXnY0NB/rw9329Ui8r5yFxNZ6lS4HRUWDbtgnvUmHWo8/hVVRSsNMbBABJx9+IVFnySFwRacXtC8IbCGU8L6m1rhAuXxCH+5wZfd50IqSzZ0akVpj1GHB6EQiScVvkYK8DvkAI82osWL1oJmZXmPCTv+yD26fMaQDZAomr8SxZInyfpDVYYTYgEOKREEIlIJe2ICCmtFNbkEgfmcy4iqa1XgwTVU5rsN/pS7uZXaTcbECIj8U/EELqPwDMr7FAq1bh36+Zh67hUTy04bDEK8ttSFyNp7QUaGqaUlwBUFR52hkWV7KpXA0rc34jIQ9sLtGEnVlx1VCSD71GpajK1YDDi7IMVQArFXjtnS67u+ww6TWYUSyMbTtnZjGuW1iLx9/7FId6HRKvLnchcRWLpUuBDz4AArHLqpGsKwX9gsupclVlMWDUH4R91C/1UgiFMugSK1eZbQuqVAwVZgN6FGLK5pyj3+nNWOVKiR9sp8vurhE01ZihivK8/fCyOcjXa3DfK3voQ6pEkLiKxdKlgNMJ7NgR8+ZKi/LC7ORiaAeEyhVAcQxE+hDbgpk2tAPC9UMpG2Ic3gB8gfSPvhEZC3FWzrV3OviDIey3jmB+jeWU4yUFevzwsjnYenQQL3/cJdHqchsSV7GYwndVWiDEBfQo6NOTrAzthYJ4tZLvikgTol8ykzlXIpVmg2KuHZGMK1NmXseSAj1UDJR1FeZQrzNiZh/PDe11aK0rxM/W7YfdTV2ATEPiKhaVlcDs2ROKK61ahdICvaJ+wV3eAFQMyNNKX7mqDleuuoeV8/oS8mJsrmDmP0xUWgRxpYR2zUBYXJUVGDLyfGoVQ5lJr8jZrsmwOxweOr5yBQgt6H///DwMunz4r7cOZHppOQ+Jq4lYuhR47z0gGIx5c4VZr5hPn4BgaM/XaTI2Z20yykxCZg5Vroh0YXMKcwWloNJsgC8QwpACqgn9zsxWrgAxxJnagsCYmX1mSX7M2+fVWHDL+TPx9NYT2KWwyQByh8TVRCxdCoyMALt2xbxZaSNwXN6ALMzsgPDptLRAF2k5EESqsWV49E00omdTCdWXscpV5oRquYlG4IjEMrOP554VZ6OsQI/7XtmjqPBauUPiaiKWLhW+T9AaLDcrKynY5QvIwswuUlqgpywbIm3YXN6MZ1yJKGnHW7/TC7WKociYudey0qJXxGs3XSYys4/HZNDivisbsbvLjt9/cDRDqyNIXE1ETQ1w5pkTiqtKswGDLh+8gdhtw2zD6Q3KwswuIogrqlwR6WFQyragRdywkf0CYcDhQ0m+btLKSaqpMBkw5PYr5tqbLJOZ2cdzVXMVLppbgf948wC1BzMEiavJWLoU2LQJCJ0+akHcEtynkNagnNqCQFhcUVuQSAOcc0nbguJwciV4Ngec3ozFMIiIlT+lXHuTJTqZfSoYY/jldc0oNxnwzWd2UIZgBiBxNRlLlwJDQ8Du3afdFPkFd2T/BRKQobgy6TDg9CliRxUhL1zhuYJStQXF3cZKyLrqd3pRmqEAUZFyBYY4J8PuLjsKJjGzj6fQqMOvb16AHrsH/++FXXRtTTMkriZjEt/VmG9CGZ+enN6ArNqCZQV6+IIhjHho+CiRWgYlDBAVUUrWVSZH34go7dqbLLu77GiqntzMPp62+iL88LI5+NveXqzdfCx9iyNIXE3KjBnCVwxxJc64UsKOHwBw+4KyM7QDIN8VkXLEuYJStQWBcNZVll87OOcYcPoyGsMAKGtDQLL4gyHsi8PMHouvLW7ARXPL8bN1+8l/lUZIXE2F6LsaV0ItNGqh06jQq5C2oFNubUFRXJHvikgxY6NvpDG0A8qoXI2MBuALhjJeuSoyaqFTK+famwyimX1+beLiSvBftZD/Ks2QuJqKpUuBgQFg375TDjPGUGFWhm/CHwzBFwihQIK06okQPw1THAORasaGNktbubKP+jHqy94db/1O4dqXqaHNIowxlJv1OW1oT8TMHgvyX6Uf+bybypVo31VT0yk3VZiUESQ6NrRZPj8O1BYU+PBTGx54fT/y9WoU5+tQaNSh2KhDoVGLIqMOxfnC1xll+TAZtFIvNysYkEFbUGxt9Yx40FAanyFZbvQ7BJGa6coVEE5pz/LK33RI1MweC9F/9e+v78fazcdw66KGFK6QkM+7qVw54wwh82rjRuCuu065qcJiwP7uEYkWljqcYXElJ0N7kVEHFSNx9eDfD+LkkBtnl5twsNeJYbcPQ25/zKTlGSVGNFWb0VhlRlO1BU3VZpSbMzPzLZsYdPqQp1VLMldQpCoqpT1bxdVAZPSNFOJKjwM9jow/r1xIxswei68tbsCHn9rws3X70VZfhJa6whStkJDPu6lcYQxYtgxYv17wXUXN3qswGfDuSJ90a0sRLq/QmpBT5UqtYijOz+0g0b3ddmw9Ooh/vmwO7lh6ZuR4KMTh8AQw5PZhyO1Dv8OLg70O7LOOYG/3CNbt7onct7RAj8ZqM1afPwOfm1MhxT9Ddgy6fJK2BAFlmLLF8VSZzrkChBE4mw4OZPx55UAgnMz+5c/MmPa5RP/VFQ+9j28+swOv/9MFsORRBTwVyOfdVM4sXQo8/TRw8CAwe3bkcIVZD5cvCIfHn9UtGWekLSif3YIAwvMFc9dztfaDY8jTqnHjOfWnHFepGCxGLSxGLWZCqHpc3FQZuX3E48cBqwN7u+3Y2z2C9ft78dt3AiSuwgy4fCiVsCUIRM0XzGJxNeD0QqNiKJTgzbjCbIDTG5BdhEwmONTnhDdJM3ssRP/V9Y9uwU9e24v/uaE1JefNdcjQHg8T5F2JF8hs9125ZNgWBASjbK5WrmxOL17d1Y1VbTWwGBN78zIbtDi3oRi3LmrAL69rwYq5FTg+6E7TSrOPQQnnCooU6DUo0GuyOo6h3+FFSUFmR9+IjE3IyN7XL1l2h83s8Yy9iZe2+iKsbKnGB0dysxqYDkhcxcOsWUBl5WniqtyU/aV9QJ6GdkBoN/TnaBTDM1tPwBcI4dZFM6d9rpml+eh3eOH2USArIEQxFEsYwyCS7VlXA05vxncKilTmcJDo7k7BzN4wDTN7LGaW5qN3xAuPP3t3sMoJElfxwJhQvdq48ZS8q7HKVfZeIAF5GtoBoS044PTm3DZhXyCEpz48jiVnl+GsctO0z1dfbAQAHLdR9UqcKyh1WxDI/qyrfgnmCoqUK2z8WCKkysw+nrriPABA59BoSs+bq0wprhhjTzLG+hhje6KOFTPG/s4YOxT+XhR12z8zxg4zxj5hjF2SroVnnAsuALq6gBMnIofE0nQ2XyABeVeuvIFQRPzlCut2W9Hn8KakagUgsl2bxJUwV9An4VzBaCrMWV65cvgkiWEAoq69Wfz6JYNoZk8232oyxA9hJ4foOpEK4qlcrQVw6bhjPwSwgXM+C8CG8N/BGGsEcCOApvBjfssYk5dLOlna24XvH38cOWTUaWAyaLI+zM7lE3cLyuu/aizrKndM7Zxz/P6DozijNB9LZ5Wl5Jz1JWLlypWS82UztrCHTw7iqspiQL/TGzNWQ+6EQhw2V+aHNosU6DUw6tQ51xZMtZk9mrqisLgif2ZKmFJccc43ARgcd/hqAH8I//kPAD4fdfxZzrmXc34UwGEA56ZordLS3Ayo1cCOHacczvZPn4DQFtSqGfQamYkrU+4Fie44MYxdnXasXjQzZWV/S54WRUYtmdoB2MLp7FK1s6KpsBgQDPGs/Pm2j/rhD3LJXkdhQoYh50bgpMPMLlJm0kOvUZG4ShHJeq4qOOdWAAh/Lw8frwFwMup+neFjp8EYu50xto0xtq2/vz/JZWSQvDxg7tzTxFWlAn7BXTKbKygi+mJyab7g7z84CpNBg2vbalN63vqSfKpcQQgQBeRRucrm4e+iSC2R8HUsN+lzbrfgnq70mNkBQbDWFRtxcpA8V6kg1Yb2WB+1Y9a8OedrOOftnPP2srLUtD/STlvbaeJKCTOunN4A8mU0V1CkLMdG4Fjto3hjTw9uaK9LudidWWIkzxUAmwxG34iI4sqaheJq2C2Iq8IEY0JSSaVFGePHEmF3lx2NaTCzi9QV5eEEVa5SQrLiqpcxVgUA4e9iTHkngLqo+9UC6E5+eTKjrQ2wWoWvMJXhGVehLPRNiLhkGsRXnK8DY0B/jniuntpyHJxz3HL+zJSfe0axEd3Do/AFQik/dzYxVnGRvi2YzbuNh9x+AMKYKqkQ5wvmym7idJrZRYTKlTtnXtN0kqy4eg3ALeE/3wLg1ajjNzLG9IyxBgCzAHw0vSXKiLY24XtU9arCbEAgxDHozl4B4PIGZWdmBwCNWoUioy4nKlejviCe+egEVjRWoC68ayeVzCjJR4gDnTm+E8gWniuYp5P+570kXwetmmXlbuOh8PVOSnFVbhJ2E9tH/ZKtIZMc7nfC4w+lVVzVFxvh8AZy5jVNJ/FEMfwJwBYAsxljnYyxrwH4BYAVjLFDAFaE/w7O+V4AfwawD8CbAL7JOVdOIllrq5B5NU5cAdnpmxBxytRzBYSzrnLAc/XKzi4Mu/1pm0w/o4SyrgBhrqAcWoKAMMao3JSdG2IibcF86dqCFTkWJNrRKZjZ07FTUKQ2smOQfFfTZcp3VM75TRPctHyC+z8A4IHpLEq2mEzA2WePE1fhMQwOD4D0/dCnE5c3EPF/yI3SAuWPwBHjF+ZWmXFeQ3FanoPiGARsLp+kJuzxZGtK+5DbD42KwSThh7Lo4dezK6cftit30mlmF4nOukqniMsFKKE9UcaZ2iMDWO3ZKwDkulsQEMVV9rZc42HzERsO9jpx66KZYCw9RtWyAj2MOjWO5XjlyuaUfq5gNKJnM9sYdvtQaNSm7ec1HsQPttn4+iVDus3swFhKO5napw+Jq0RpaxNS2geEAZelBXowlt2/4MJkeek9KLHIhcrV7z84ipJ8HVa2VKftORhjqC825vxFU2gLSm9mF6kIj8DJNgPxkMuPQgn9VsBY5aovB2wDmTCzA4DJoEWhUUtZVymAxFWiiKb2cFK7Vq1CaYE+a8UV5xwuXzC1lavDh4E//xkITt9uV2rSwe0LKnbo8LEBFzYc6MPN59XDoE2vwJ1Zko9jOdwWFOcKyqstqIfbF8SIJ7t+vofcPhRJGMMAAAatGpY8bdZeexMhE2Z2kfpiI07SfMFpQ+IqURYsEL6P811l6y+4NxBCMMRTK67uugu44QbgvPOAj6a3WTQyAsehzNbgH7cch0bF8KXPzEj7c80oMaJzcDQrx62kAqc3AF8gJBtDOwBUWoQ2TLZdP4bd0leuAKGt2j2sfCGwuzN9yezjqSsyUuUqBZC4SpSiIqCh4VTfldmAnizdsSIORU5ZztXJk8D69cDllwPd3cBnPgPccQdgsyV1OjFItF+hrcGPjtlwXkNJpMWRTmaU5MMXDMFqV/6bUSwGXWI6u3zagtma0i6HyhWAnEkU39NlR75OjTNK02dmF6ktzkPXUO5+CEsVJK6SYZypvdxsyNoxDK6wuEpZ5eqppwDOgYceAg4cAL7zHeCJJ4DZs4HHHwdCiYVYlio8pb3H7kFtUV5GnkuMYziRo6Z2cWOErNqCWSiuOOcYdvslzbgSEX2E2eZZS5R91hHMrUqvmV2kvtgIXzCUddVUuUHiKhna2gRfkV0o1VaaDbC5fPAGsi/Sa6xylQK/D+fA2rXAkiXAmWcCZjPwP/8j+NMaG4HbbgMWLYr41eKh1BSeL6hAceUNBDHg9KHKkllxlas7BscqV9KLApHy8I63bAoSdfuC8AVDsmgL1hXnYdQfjCTvKxHOOQ5YHZhbZc7I89VFsq5y8zqRKkhcJYNoat+5E8DYluD+LNy14vIKgjAllasPPwQOHQJWrz71+Pz5wMaNwB/+AHz6KdDeDvzTPwH+qVOAxTElSvRcidWKqsLMZIxVWfKgVTMcH8xNU/uQDMWVQatGcb4uq8TVWDq79G1BMZdJybtgu4ZH4fAGMKcqM1ledZGsK+W3W9MJiatkGGdqLzdn74ywlLYF164FjEbgC184/TbGgK98BfjkE8GD9etfA888M+UpdRoVLHlaRVauxIG91RmqXKlVwtT74wPKfSOajMhcQRkZ2oHwjLwsagsOh+cKyqFyFQm9VLC42m91AADmVGamclVTmAfGlC1YMwGJq2SoqABqaiLiqjKLxzCkzNA+Ogo8+yxw7bVCkv1EFBYCDz8sJN0/9lhcpy4tUOZ8QdFYLgbRZoIZxUYcz9GL5qDLC4NWBaNOXoG5lWZ9RGhnA3KqXInjWpTsIzxgHQEAzMlQCr1Oo0KV2YDOHL1OpAoSV8kSZWqvoMoV8OqrwMjI6S3BWDAG3H478MEHwN69U95dqUGi3cPhylWG2oKAsGPwhM2leANwLAZdfhTLoNoynkpLXlZdO4bClasiGbRX83RqlJv0iq6y7O8ZwYwSY0anaNQVG3Eyx4e8TxcSV8nS1ibshnO5UGTUQqdWZZVvQiRSuZrup/m1a4H6emDZsvju/5WvAFptXNWrUpMyR+BY7aOw5GkzWkmZUWKEyxdU5Os5FYMuL4pl1hIEsm9DTGRoswwqVwAUP3nggNWBuRlqCYrUKfw1zQQkrpJl4UIhVmDXLjDGUG7Woy8L24JjhvZp7Bbs6gL+/ndBMKni/JEqKwNWrQL++EehpTjZXQv0GMjCzQJT0WP3oCqDLUFASGkHgBM5aGofdPlklXElUmkJD3/PkuvHkCvsucqTh1CtL1Zu6OWoL4ijNlfGzOwidUVG9I544fFnh+CXIySukkXcMRjlu8qmrBoRly8AvUYFjXoaPwpPPSUIzVtuSexxt98ODA0BL7446d1KC3RweAOK+0XvHs68uKoX4xhy0NRuc/lQLJNqSzSirSBbKt9Dbh8K9BroNPJ4+6grNsI64smayl8ifNLrAOeZM7OL1JcIm2w6acdg0sjjtyMbqa4GystP8V31OrLj4hiNMLR5Gm0pzoWIhcWLgbPOSuyxy5YJj5miNajUIFGrfRRVhZnZKShSW5QHFUNOmtqHZFq5EnPOsuXD2bDbJ5uWICBUrjgf8zAqCdHM3pihjCuRSNYV+a6ShsRVsjB2mqk9m7ZTi7i9gekZJT/6SPCeJVq1AoQW4m23AZs2CeeYgDFxpRyf0KgviCG3H9UZrlzpNWpUWfJwPMcGOHv8Qbh8QdnFMADRu42z4/oxJJN0dpE6BWdd7beOIF+nztgUBxHxNaUdg8lD4mo6tLUJu908HlSY9XD5ghGDeLbg9AanJ67WrgXy8oDrrkvu8atXT2lsLzWJQaLKqVyJLaBMpbNHM7PUiOMK3roeCzGdXU6iQMScp4FBq8qaOAY5Vq4AhYqrHgdmV5oyMvYmmrICPfQalSJf00xB4mo6tLUBgQCwZ08kqyhbSvsiLm8g+dE3Ho+QbbVqFWBJclp7eTnw+c8LrUVP7NeuzKS8tqB1WPAyZNpzBQD1xfk5V7mS4+gbEcYYqix5WeS5klflqtykh06jUpypXRh7M5KxsTfRqFQMtUV5OTEUO12QuJoOUab2cpPwJpltA5xdvmm0BV97DRgeji/bajJuuw2w2YCXX455szhoV0niqjsy+kaCylWJEUNuP+yjU48fUgqDMk1nF6kw67PGVjDk9skiQFREpWKoK8pTXJBot92DEU8AcyQQVwBlXU0XElfTYeZMIXF8x45I5Srbfhid0/FcrV0L1NYCF144vUUsXw40NABr1sS82aBVw2TQKMpzJWXlShzgrLQ3o8mQc+UKEHxX2dAWDARDcHgCshh9E40Ss67GzOyZjWEQUeJrmklIXE2HKFP7jGIjqiwG/G1vr9SrSgiXN5BcgKjVCvztb0K2lXoaGVnAmLH93XeBgwdj3qWsQI9+BVWurCMeFOfrYNBO87VLghnhrKtcGuAcEVcyEwUiFRYD+hwehELyTs4fDlc75VS5AsayrpQ0eeBAjzBT8OwKacRVXZERDk8AdnfuVLhTCYmr6dLWBnR0QBUM4OrWGmw82J9V7StXsob2//u/5LKtJuLWWwGNBnj88Zg3lyosSNQ6PBrZJZZpRANwLpnaB10+qFUMljx5iQKRKrMB/iDHRw+Q6gAAIABJREFUoFve1VkxnV0Oo2+iqSs2wuENKKrVvc86grriPJgM0vzMKnkXZiYgcTVd2toArxfYvx+r2moQDHH8ZVe31KuKC845XL4kDO2cCy3B888XBjCngspKYOVK4Pe/F17PcZSalDW82Wr3ZHSmYDT5eg3KTPqcMrXbXIJPKNO7ruIlWzbEiHMF5dgWBJQlBA5YRzI+9iaaumLBD5ptVhe5QOJqukSZ2s+uMKGp2oyXP+6Sdk1x4vYFwXkSQ5u3bQP27Utd1Urk9tuBgQFhCPQ4hOHN8v5UnwhWu0eSGAaRGcVGHMuhytWQyyerHW7jiaS0y11cRSIt5FUBFCcPKEVcefxBHB1wSWZmB8YqV0rbhZkpSFxNl1mzgIKCSJjoNQtq0NFpx+E+p8QLmxpXOJMrYXH1hz8ABgNw/fWpXdCKFcCMGTGN7aUFethH/fAFQql9Tglw+4T2RZVElStA8F3lmqFdrmZ2ICqlXea7jYfdoudKXq+lmCiuFHF1sNeBEJfOzA4AZoMWhUatYl7TTEPiarqoVEBra0RcrWyphooBr2RB9UoMPE1o/A3nwPPPCy28wsLULkg0tm/YABw+fMpNYkq7zZX9rUFxTEdKdgpyLkRY9Pcn9LAZJUb0jHgUN69xImwur2xjGABhfqaKyT+lfSjsuZJTiCggfEAsydcppspywCqY2TM9U3A8dUVGnKT5gklB4ioVLFwI7NwJBIMoNxuweFYZXv64S/Y7f1xe4Y01ocrVyZNAXx+wdGl6FnXrrcLuw3HG9tLwG+OAI/tbg1a7GMOQgrbgr34lhLi2tABvvx33w2YorI0yFYMybwtq1CqUmfSyj2MYcvuhUbHpzSNNE3UKig7YZx2BUaeOeMmkoq44j0bgJAmJq1TQ1ga4XJEYgVULatA1PIp/HBuUeGGT44y0BRMwtIcrdFi4MA0rgjAQ+8orBWO7b0xIlSoopV18A62errj68EPg//0/oZ1qsQAXXQTcd58wNWAKxDiGYwPKN7UHQxzDo/5IGK1cqTQbZF+5Ekbf6MCY/DYGKCmX6UDPiCRjb8ZTV2xE59Co7AsFcoTEVSqIMrUDwMVNFTDq1Hhlp7xbg65k2oLbtwuVpebmNK0KgrG9r09IgA9TFm4L9isgjsEabgtWWPTJn8RmEzxvdXXAn/8sbDK49VbggQeAZcuAEycmffgMBe6umohhtw+cyzdAVKTSYpC/oV1m6ezR1Bcb0T3sQSCY3b5Mzjn2Wx2StwQBoS3oC4bQ65D3z6UcIXGVCubMEQzeYXFl1GlwaVMl/tphlbWnxeVLwtC+fTvQ2CgMa04Xl1wiRDO8+GLkkOi5UkKQqNU+itICHfSaJANEQyEhvLW3VxBWhYVAfj7wxBPAM88AHR2CD3CCcUKA4JkxGzQ4lgNxDJGhzXIXV2aD7A3tcpsrGE19sRHBEJd9a3UqekY8sI/6MVdCM7vI2I5B8l0lStLiijE2mzG2M+prhDH2HcbY/Yyxrqjjl6dywbJEoxE8L2LLDMA1bTVweAJ4+0CfhAubnIQN7ZwL4ipdLUERtVpocW3YIAgJAHk6NfJ1akW0BbunG8Pwn/8JrFsHPPgg0N5+6m033ST8HJ5xhuDF+ta3Yg7EZoxhRkl+TgSJRuYK5k+jUpgBKiwGODyBSEVZjtjdftmZ2UWUEnopmtmlGNg8HiXmh2WKpMUV5/wTznkr57wVwEIAbgDiR+UHxds45+tSsVDZEx6DI4qB888sRblJj5d2yLc1mHAUQ3e30K5Lt7gChHmD/f3Anj2RQ6UmZWRd9dhHk98puGmT4Ku64QbgG9+IfZ+zzgI2bwa+9z3g4YeB886LOVZoRokxp8SV3NuC4s+EnKtXQltQnq+jUrKu9oVnCs6ulL5yVV1oAGOUdZUMqWoLLgdwhHN+PEXnyz7a2oCREeDoUQCAWsVwdWs13v2kL3JxlxvO8G5BY7zz7bZvF76LHrN0sny58H3DhsghpYzAsQ57UF2YROWqrw+48UahKrVmjTDbciJ0OuCXvwRefx3o6hLE2Li5azNKjOgaHoU/yz0qU2HLEnElBon2yrStxTnHsNuPwnx5Vq4qzQZo1SzrxdWBHgdqi/JglmjsTTR6jRpVZgOJqyRIlbi6EcCfov7+LcZYB2PsScZYUYqeQ96IgkMUIACuWVCLQIjj9Q55jsNxeQMw6tTx70jZvn0s1yvd1NUJo3XWr48cKi3I/hE4Do8fDm8gMu4kboJB4ItfBIaGhJwxc5wtg8svB37+cyEqZNOmU26aUZKPYIijS+E5NpFUcZmKAhFx1qRcPUNuXxC+YEi2lSu1iqGmMC/rxdV+64gszOwitcVGGoGTBNMWV4wxHYCVAJ4PH3oEwJkAWgFYAfz3BI+7nTG2jTG2rT/BAERZ0tQkVAuixFVjtRlzKk14SaaBoi5vIDEz+44dwNy5gDFD2SsXXQRs3Aj4hVRoYQROdosrcTdYwm3BBx4QhOZvfiP4+xLhS18CSkqETKwoxB2Dx7P8zWgqbC4fTHpN8hsIMkSlzNuCYoCoXHcLAoLvKpurLB5/EJ/2O2VhZhepKzKSoT0JUlG5ugzADs55LwBwzns550HOeQjAYwDOjfUgzvkaznk757y9rKwsBcuQGL1eiCfYtu2Uw9csqMHHJ4ZxVIZ5Qk5vIPEYhky0BEUuukjID9u6FYAgrobc/qxuY3WLGVeJtAU3bADuvx/48peBr3418SfNywPuuEOY2fjpp5HDM0uFrCulD3AedPlQLON0dhGjTgOzQSPbrKthmQ5tjibbs64O9zkR4vIws4vUF+fWNIdUkQpxdROiWoKMsaqo264BsOe0RyiV9nZBgITG3vxXtlaDyXQcjlC5ivPTvNUqfGXCzC6ybJnQhgz7rsQgUbl62OLBOiyms8dZubJagZtvFiqGjzwyuc9qMu66S9iF+ZvfRA6Vm/QwaFWKN7XL2YQ9HjlnXY1VruT7WtYXGzHs9mPE45d6KUkhmtnnyMDMLlJXLHwQ7Bqm6lUiTEtcMcaMAFYAeCnq8H8yxnYzxjoAXAjgu9N5jqyivR2w24EjRyKHqix5OP/MEryyswucyyvl1uUNIl8XZ+Uq3cnssSgqEp4v7LsqC1cfsjlItNvuAWNj5uUpefBBYHBQ8Fnl5yf/xDU1Qujo448LGy8QjmMoVn4cg83pk306u0iFjLOuhiJDm+XbFqyP5DJl58/0AasDBq0qMkFBDtRl+WsqFdMSV5xzN+e8hHNujzr2Zc75fM55M+d8JefcOv1lZgli5tBprcFaHLe5sePEkASLmpiE2oLbtwtVk0yY2aNZvlwY8+J0RoJEs9l31WMfRVmBHlp1HL96oRDw3HNCqGpj4/Sf/O67AYcDWLs2cqi+xJgbbcEsEVdVMq5cDUeGNsv3tcx2IbDfOoLZlWaoJR57E022C1apoIT2VNLYKCS1jxNXl86rhEGrkl3mlcuXgKF9+3Zg9mygoCC9ixrPRRcJs/I2bYoSV1ncFrR7UBWv3+rDD4UxNjfemJonP/dc4PzzgYceEnYfAphZInhUlDo7jHOOQXf2iKtKswH9Tq8sfYVDLtFzJePKVRZnXXHOcaBnBHNl1BIEhNFjOo0KJxW+qzjVkLhKJVqtUNkZJ64K9Bpc3CiMw/EF5HPRTGi3YCaS2WNx/vnCZoH16xUxvLl7eBTV8fqtnn1WEOsrV6ZuAd/5jtC2fv11AEB9ST68AeXODnP5gvAFQqkRV/v2CRsKvvhFwJ2eN+8KiwGcy7P1PeQWdl3GVXWVCLNBi0KjNivFVZ/DiyG3X1ZmdgBQqRhqi/JwQuH2gVQj39+SbKW9XfAnBU/dWXFNWw3so36884l8xuEIbcE4DO29vUIQpRTiKi8PWLwY2LAB+To1DFpV1gaJci7MPYsr4yoYFOYGXnFF/JlW8XDNNUKGWDiWYWb4k75SfVeDzhQEiG7ZAlx9tRC38uyzwtell0a8a6lEzLqSo+9q2O2TbYBoNHVFRpzIwugAOZrZReop6yphSFylmvZ2wOk8bdzIBWeVorRAh792yMOCFgiG4PGH4qtciWb2TMYwRLN8OdDRAdbfn9VZVyOeANy+IKrjmSu4caMgalPVEhTRaIR5g++8A3R0YEbx1HEMoRDHwV6H7DZkxIPNJfysJCyuOBfmNy5dKlRP338f+PGPhTbtM88Igmv5cmGzQQoRhbccU9rlPLQ5mvoszboSZwrKKUBURMi6yr7XVEpIXKWaCUztGrUKLbWFONTrkGBRp+PyCZW1uAztYjDqggVpXNEkXHSR8P3tt8PiKjs9V1Z7OIahMI7K1bPPCv62y9Mw9/zrXxeCYP/3f1FdaIBGxWJWrlzeAP645RiW/89GXPzgJvxtb2/q15JmxPiAuMVVICCIp9ZWoWr46afCjs3jx4WssdJSYZTQSy8Bu3cLcSG9qXtdZF+5ygJxVVdsRNfQKIJZ5iPcbx1BTWEeLDL0tNUXGzHiCcDuzs6ICykgcZVq5swRtsyPE1eAMG7kuM0tiwpAQkObt28XRtGksj2VCG1tQGGh4LvK4sqVdVhMZ5+icuXzAS++KLSi0pGGX1wM3HIL8PTT0NgGUFuUd4q46hoexc/W7cdnfr4B//rqXpjztNCoGHZ3Dad+LWnGFhbiJfn6/8/eeYdHWWV//HNn0nsPCSQBQgKEEkoAqUqx4IqKggW77k/X7u667lpWXXftZXd17dh2F0XXBigqAoL0HrqUUEJCIL3Xyby/P+5MSMIkmSTTcz/Pw5Nk5p2Zy81k3vOe8z3f0/HBdXVS9H/ddXIqwIcfSn3aAw+c3cgxaxZ88428f8oUOHHCJuuNCPTBR69zyY5BmblyvRN/axIjAqhvNLqsGWtb/HKq3CVLgnDG60qVBq1HBVe2Rq+XwYDF4CqAmoZGlxCrdiq42r7dOXorM3o9TJ0Ky5cTHeTtvsGVtaNvli+X5SZblwSbc999Mph4+22SIgM5VlTFtuPF3L1gO1Ne+In31h7l3NRovrxrAovunkjfqEAOnKq033rsRHFn5gq+9hrs2AHvvQd79sgA1KedTM2MGfDDD3DqFEye3MLfrqsIIYgJ8XXJzJW7mLGarQPcSdReZ2gkq6CKQS409qY5fcKVHUNnUcGVPcjIkB/SBkOLm5MiXWeWW6UpuOpQ0F5YKHUmztJbmZkxA44fJ7kin+KqerdL+YMsC+qEdEZvl4ULZabuggvst5hBg2DmTHjjDfqHeLH3ZDlXvrmBNYcK+PXkfvz80FT+NW8UoxLl3PWBscEcyneNknZnKK6ux0ev67j8XVAAf/2rLMPeequcDGANkybBypXSP2zyZNlR2E1c0evK0Gikotbg0jYMZtwxuDp0upJGo+ZynYJm3Nniwlmo4MoeZGRATQ3s39/iZrPr7jEXmDNYVSc1Vx06tJv1Vs7MXIEUDwND9m3BqLnnCJyTpbXEhvjh1V4re00NfP01XHll+1kTW/DAA3DqFFcf2cCoxDD+evlQNj4ynYdnDqZ3Ky+ulNggsourqal3r/lixZXS40p0NDboL3+RcyxffLHzLzJ6tGxAMBqlAH7Hjq4t1kS/qEAOnK5wKe+x0hqzO7vrZ67iwvzQ64RbZVl+OeW6YnaQFheh/t6qLNgJVHBlD9oQtfcO80evEy4R/VfVW1kWNHcKOkvMbiY1Ffr0IWnnRsA9va7yymo6LgkuXSqzIPYsCZo5/3wYPJhBC9/jyzsncMM5SQS0EWwPjA1G0+RgWXfCKnf2/fvhrbfkcOuuOuEPHQpr1kjrkKlTZba3i4zrF0lpdUPTCdcVOOPO7vqZK2+9jvgwP5f4nLWWX/LK8fXS0S/KdcbetCYhwt8tLS6chQqu7MGAAVL83Sq48vGSf/THXMBTqKqpLGhF5io5WZapnIkQMH060VvWITSjWwZXp8pqOxazL1wIMTGyC83eCCGzVzt2SKuBdkiJlVqQAy7S7WotVrmz/+EPsgnlySe792IpKdLioroann22y08zPjkSgA1Hirq3HhtyZq6g62euQJYG3Sm42n+qnIG9gl1q7E1rEiMCyHGjPXU2KriyBzqdLBVYELX3jQwk2wVmuVktaHeWM7slZszAu6SYtPyjbhdcaZrGyY4yVxUVsgNt7lzpR+UIrr9edg/+85/tHtY3MgAfvc5lrESspcPM1fLl0q3+sccgOrr7L5icLK0u3nuvy9mr+DB/kiID2JDlQsGVuTHAlsFVeTl89ZXM1q5ZA5mZsikgP1+Wx7vRVe1uvkwHTlW4bKegmYTwAHJKalyqXO3KqODKXmRkwM6dsq2+GYkRAS6Ruaqss8LnqqgIjh1zneBq2jQAJh7LpLDCvTRXpdUN1DYY258ruHgx1NY6piRoJiAAbr9dnuROnWrzMC+9jv7Rge6XuapsJ7hqbITf/x769YN777Xdi/7pT/Jrd7JX/SPZdLTIZRo3SqttPFewuFjq0664QvqJTZkipQcDBkBsrHxfentDr17wv/91+ukTIgIorKynut7Q8cFOprLOQGFlPX1duCQIck/rG43kuWAnqyuigit7kZEhW9337m1xc9/IQMpqGpo0DM6iqs6AToCfdztvAbMw11WCq/h4tLQ0Jh/f6XaZq5MmA9F25wouXAh9+khHcEdy3XVSjP311+0eNrBXMIdOu4/mqt5gpKLO0HZw9eGHsGsXPP+8nOFoKxIT4bbbupW9Gp8cSUWtgX0nbT9ipyuYzVjDbTGjsaRE6v327YNPPpFu9z/+KI1ZP/oI/vUveO45GaQmJsK8ebBoUadewtwxeMINNEK5poHIZrsDV2VIvBTb7zrhfn53zkAFV/aiDVF7oovMcqs0DW1ut4vK2c7sFhAzZjAmZy/FJe6VQTG31rc5V7C4WHomXX219TYAtmLIEBg4sMMMQWpsMLmlNVTUuodLc7vu7BUVshQ4YQLMmWP7F3/4Yfn1uee69PDx/c26q0JbrahblFQ34K0XBPpYMYu0PUpL4cILpY/YV1/JLO0550irldmz4cYb4e674Y9/hL/9DVaskBd3V10F339v9cu4kx1DbqlcY+sOXVdjSHwoPl46th0vcfZS3AIVXNmLfv0gPBy2bGlxc1+THYOzva6q6gzWidn79ZOaHFdh+nT8GuoI37nN2SvpFCdNwVV8Wx+gX30lXcEdWRI0I4QMMFatkn5PbZBqErUfcpOOwTPu7BaCqxdekGXQV16R/39bY85ezZ/fJff2mBA/+kcHuozuyjz6pkNLi/YoL5cDrzMz4fPPrRvtFBwsg6ohQ2TwtXKlVS/lVsGVKXOVEO7awZWPl47hvUPZnq2CK2tQwZW9EEJmr1pnrkx/9Med7HVVVW9wLzG7mXPPpVGnp5/JksFdyCutwUsniApqw0B04UIphnbWfs+d22FpMDVWjoA56EIWAe1xxp29VXB14gS89BJcey2MG2e/BZizV13UXo3vH8mWYyUYGo02XFTXkO7s3dBbVVTIwGrbNpkhnTXL+seGhcGyZVKPNWtWh52tILVhwb5ebiFqzympwUeva/uzwYUYnRTOntxyahvcy+/OGajgyp5kZMjhrrVnBID+PnpiQ3ydnrmqrGtsP7gqKZFDa53tzN6a0FBykocwdP+Wjo91IU6VSQNRi63Wp0/LK/JrrrFPFsUahg+XJ692SoMJ4QH4ees46Ca6q+LqNjJXjzwiO9G6ITi3isRE6fbexezV+ORIKusM7M4ts8PiOkdJdUPXhzZXVsos1ebN8OmncmZmZ4mKkp2dCQlnnqsdhBAkuIkdQ05pDb3D/dHZ24bhwAHZpNQNRiaGU99oZO9J578nXR0VXNmTjAw5AmfXrhY3J0UEctzJdgyyLNiOfsLVxOzNyM2YwOCcAxhL3EdY2a4Nw+efy6yRM0qCZsylwZUr2/wA1ukEKTHBHHSTjsFiU9NDC83Vli3w3//C734HSUn2X0Q3tFfj+rmO31VpVzNXVVWyG3DDBpmdveKKri8iNlZqsKKjpW4rM7Pdw93F6yqnpMZ+eitNk3s2bZoceRUbK5sJ3npLXtR1klFJ0u9Q6a46RgVX9qQNUXtSZIDTBe1VdYb2R9+4ytgbC5SOn4KXZqTqxxXOXorV5JXVtm3DsHCh1JQMHerYRbVm7lxpT9BOZ1ZqrBsFV1X1CMGZjIumyaAqJuaMXYK9SUrqcvYqOtiXlJggl9BdlVQ3dN7jqroaLrlElvEWLLBN40Dv3vICICREiuBbdWM3JzFSel1p3fDLcgS59giuNE1au5ibBQ4ckDrDhx6SHax33glxcdIC49VXISfHqqeNCfYjMSKA7cfd58LWWajgyp4kJMirLAvBVX5FnVM9WCo7ErRv3y5PDJGRjluUlRjPOYcaL18My3509lKsQtM08spqLdswnDghTz7XXuv4hbVm5EjZwNBOaTA1Noj8ijqnW4lYQ3F1PWH+3mdKscuWyb1+6il5cnYUDz8sT3ZdyF6NT45k67ES6g3O011pmtYkaO8U110HP/8M//mP7IK1FUlJMhvj4yNnjh48aPGwhHB/6gxGCipc17altqGRwso6+thKzN7YKC/W0tNl+bWgQGapjhyRkwieeQZ++UXKVZ54QnZv3n+/PFedc47M6nbA6KRwtmWXuHzQ6mxUcGVP2hC1mwc4OzNlXVXXgaB92zbX01uZiIgIZkufNHxXr3L2UqyiuKqeeoPRsg3DZ5/Jr7Y8+XQVc2lw+XKpubNAqslF2h10V2e5s8+fL7U7t9zi2IV0I3s1vn8kNQ2N7MpxXqagqr6Rhkatc2XBZctkc8Szz0qfKlszYIDMYBmNMuNqOPtCNcENOgZzS2WnYO/uBldGI3zwAQweLC/UDAb4979l4HnHHeDbTCwvhMySP/GElKwcOCCDrupquOGGDoeXj0oMo6CijpwS1/cQcyYquLI3GRkydV195g88yeR1dazQmcFVO4L2sjI4dMglS4IA0UG+rE9KJ+DwgS7pBhxNnsmGweJcwc8/l0HsgAEOXlUbmE9UixdbvDvVjWYMFlXWExloOqkUFcn/03XXyYyHo+li9mqc2e/KiaXBTo++aWyEBx+E/v1lVsReDBokszK7dknj0Va4gx2DzQxEH3hABvBBQfIzZc8eGShZM0YrNVW+P7dtk7rPhx6Cp59u8/BRSeEAypKhA1RwZW8yMuRVRTPxZVKEOXPlHFF7vcFIfaOxbUG7C4vZAaKCfNmQOEz+sHq1cxdjBSdNV6fxYa0yVyUlsuvpV79ywqraICNDdrm1URqMD/UjyNfLLWYMllTXEx5oyrZ8/LEcReXorJWZpCT52vPnW61vASnGH9Qr2Kmi9k6PvvnwQ1l2ev75lhkTezB7NsycCX/+M+Tmtrird7g/Qrh2cGXO/nQrc/Xqq/Daa/Db38oA6coru2ZE7O0tS7g33CANdp94wuJ8x4GxwQT66JWovQNUcGVvLIjaQwO8CQvwdpqovcOhzdu3y68uWhYM9ffml/gU6vwD4aefnL2cDmkzc2Uua1xwgRNW1Qbm0uCyZTKDedbdgtTYIA64gdeVLAuaTu4ffCDfz+npzlvQI4/I33cns1fjkyPZdryEOoNzvIU6NfqmsvKM8/2VV9p5Zcj362uvSQPe3/++xV2+XnriQvxcOrjKLa1GrxPEBncxCF28WGatZs+W3m3dtXLx8pJ/K7feKrWJZtuS5ofodaQnhKngqgNUcGVv4uNlV4YF3ZWzgqvKjoKrbdvkjLuYGAeuynp0OkFYiD9HBo2UruIuTl5ZLd56cbbf0rJl0oHankaWXWHOHHmyWrLE4t3mjkFXFrQajRol1Q1yzzMzZTbWWVkrM2bt1bvvdip7Nb5/JHUGIzuynaO7agqurMlcvfiidL5/+WXHebYlJ8sg4NNP5YzCZiREBLi0kWhOibRo8dJ34VS8bZvUV2VkSCG6rcZm6fXyPfqb38gLgQcfPCvAGp0Uzv688qYLdcXZqODKEVgStUcEcNxJZcEqU5dim92CrujM3oqoIF92DRghO1/y8py9nHbJK6uhV6hfS5NATZOzBKdNk+l4V2LcOBlcf/65xbtTY4MpqW6gsNJ1OwbLaxtoNGoy2/LBB1JnZQ9hdWcxZ69eecXqh4zrF4kQztNdnSkLdpC5ys2VwdXVV8vOM0fy0ENSt3j33VB3pjvQ1b2uumzDkJ0tbS6io2X2KsDGQ591OnjjDbjvPvleve++FgHWqKRwjBrsdGKjhaujgitHkJEhg4CKM6WUvpEB5JbUOKXF2ny1EWBpCGtFhewwcdGSoJmoIF82JplKPC6uu8orrT27JHj4MBw/7lolQTM6nSzpfP+9nAfXiqYZgy6suyoyibCjvTXpsXT55a4xIzMpSTYNvPdei8+D9ggN8GZIfIjTdFfmzFWYfwcXAX/+sxSz29v53hJ+fvD667IRp1m3W//oIE6Xu651SG5pTefF7OXlMrCqqYFvv4VeveyzOCHgH/+Q5dZ//UtmsozyfDUqwSRqV6XBNlHBlSPIyJBRv1koDiRGBmLUzrTiOpLKOqndsJi52rFDrtXFM1dJkQEs941DCwlxed3VybKasz2uli2TX10xuAJZGqyrkx/erUjtJWcMunLHoHmu4IBNq2SnoLNLgs25/355gvz3v61+yPj+kWRmlzplpltpdQPBfl7tl64yM6WQ/b77pFeaM7jgArjqKtnpduQIAOkJoQDszHG9cS31BiOnyms7J2ZvaJDB+f79MrM8ZIj9FggywHrxRdlN+M478Otfg9FIaIA3A2KClO6qHVRw5QgsiNr7mu0YnDAGp11Bu3lm15gxDlxR55kxOJYKAxSOHOfSwZXRqHG6vJZerTNXP/4oT0LJyc5ZWEdMmCC1ghZKg9FBvoQFeLu0U7s5uEpY9Kl09T7/fCevqBnjxsHYsVKIbbQucz0+OZL6RqNTTmZyaHM7JUFNk7owUKGRAAAgAElEQVSc8HB49FHHLcwSr7wiRdn33guaxrDeoQgBmU7Sq7XHqbJaNA3rDUQ1Tf6/li2TFhQzZth3gWaEkAHr44/LEvszzwAwOjGc7dmlGI2uq710Jiq4cgQxMbK9vVlwlWgKrrKdIGo3C9otZq42b4a+fV1WzG5mfHIkIX5erE8YKksBrdqwXYXCqjoaGrWWNgwNDbJT8IILnDeouSPMpcGlS2UHWDNkx2CwSxuJFlfVE1NRRNCq5XDTTVKk60rcd580bzRnMDtgTN8I9DrhFN2VHH3TTknwu++kY/oTT0BYmOMWZonevWWX29KlsGgRwX7epMQEuaQ2KKdEfvb3sVZz9dJL8PbbMot02212XJkFhIAnn5Q+cY8/Dt9/z+ikcMpqGjhS6Nw5ua5Kt4IrIcQxIcRuIUSmEGKr6bYIIcSPQohDpq/htlmqm9NK1B4d5EuAj941M1eu1r1mAW+9jhlpsXwc0F/e4KJdg3mlFmwYNm2SehtXLQmamTMHamvliaoVqbFBHDzluh2DxVX1XLl3JcJohJtvdvZyzmbuXKmVefVVqw4P9vNmaO9Qp+iu2h19YzDIrFVKitTkuAL33gvDh8sAtqqK9D5hZJ4odbn3ak5n3Nm/+kqK9q++Gv72NzuvrA2EkKXB4cNh3jzGajJgVbory9giczVV07QRmqaZal/8CVihaVoKsML0syIjQ2ZYSuUbUgghO1mckLk6E1y1upo/fVqKrMeOdfiausLMoXFsCU2kISTUdYOrJo+rZpmrZctkZmjaNCetykomTYLYWIulwYGxwVTUGThVXuuEhXVMUUUdV+1eDpMnyxO/q+HjI4fnfvddm7PxWjO+fyQ7T5Q6vP1dlgXbyFy9957U/zz/vHOc7y3h5SU73U6cgL/+lRGJYRRX1bvcuJbckhqEaGNyQ3NOnpQWHmPHSl2brSwXukJAAHzxBWgaSXfcSKy+Uemu2sAev6XLgI9M338EXG6H13A/zLors0En0Dcy0CmZq8q6Rrz1Al+vVsGVWW/lJsHV5JQo/Px8ODRwpMvqrvLK5Af6WcHVuHHOL6F0hF4PV1whRe3VLS8CUsxjcFzUTDQ0cwv9inNdS8jemjvukAHJa69Zdfj45EgMRo2tDj6ZlVY1WM5clZfLEtHkybIb05WYOFEGJC+/zNjqUwDsOOFapcGckhpig/3w8WrnNKxp8H//J5tL/vtf2RXpbJKTYcECxM6dvLLqbbYfL3b2ilyS7gZXGrBMCLFNCHG76bZYTdPyAExfLYp3hBC3CyG2CiG2FhQUdHMZboC5+65ZaTApMoATxTU0OlgQ2ObQ5s2b5QnVxW0YzPh565k6KIbvogZBVlanh+I6gryyWny9dGcGCBcXw5Ytrl8SNDNnjgysvvuuxc1n7BhcU3eVvvwranz8ZfnNVYmNlbPcPvzQoht+azKSwvHSCTY6sDTY0Gikos5gWdD+/POQn+9Yw9DO8PzzEBJC8pN/xM9LsNPFgqvc0uqOxezvvy/L8s8951oZ2IsvhieeYOL6pYz74TPKTF5oijN0N7iaqGnaKGAmcLcQYoq1D9Q07R1N0zI0TcuIjo7u5jLcgIgIOcjUnB1CurTXNxodXlqpqjMQ6NNGcDVsmO0N6ezIRUN6sSI2Tf7ggqXBk6XSgVmYTz7mkTeu1L3WHlOmSKPCVqXBiEAfooJ8XdOOoaqKsZt/ZMvY6XKQrStz332yYeDDDzs8NNDXi/SEMIeK2s0Gok0zGs2cPCk78+bNc93O4qgoeO45dD+v5s7cTS4XXOWU1LSvtzp+XM4LPO88uOceh63Lav78Z4rPO5/HV7zL4cXWNWb0JLoVXGmadtL0NR/4ChgLnBZCxAGYvuZ3d5Eew/jxsH59k9Ntkqlj8LiDS4OVdYazOwU1TQZXblISNDN1UAxZ8f2pCQpxyeDqVFkrA9FlyyAkxH322ctLzi1bskSaFjZjYK8g1zQS/eILAupq2DljtrNX0jGjR0vbCyttGcb3j2R3bllTx6+9MZtvnlUWfPZZKWZ3lrjaWm67DcaM4dZFb3DkSB4NjY43bbZEo1HjVFlt2+7sRqMsa2qatD9wps6qLXQ6fD9ZQF5IFKn33CrHHima6PJvTAgRKIQINn8PXADsARYDN5kOuwlY1N1FegyTJslRLUePAs2DK8eK2qvqDWeL2Q8flmJ7dznpmwjy9WJyagybE4ehuaDuKq+s9ozeStNkcOWKI2/aY84cqKqSju3NSImRdgwu53Pz/vscC4+nfLTrd70C0lQ0K8tiV2ZrxidH0mjU2HLUMTqXEnPmqrmgPSdHdo3dcovzDEOtRaeD118nqLSIu1b9x2U0gqfLazEYtbbd2d98U2a5X3lFWuO4KIG9onnh9mfxqSiTBq4NqjxopjvhcCywVgixE9gMfKtp2vfAc8D5QohDwPmmnxUggyuAtWsB2SXirRcOD64q6xrP1lxt2iS/ullwBXDR0Dh+ihuCOHpUptJdhEajxqnyWuLMHleuPPKmPaZOlaXBhQtb3DywVzA1DY1OmTLQJkeOwOrVfDZsBhFBLiD+tYbZs6U/kxW2DKOTwvHR6xxmyXBmaHOzzNWzz8oLBWcbhlrLmDFU3XgLN29bwtFVm5y9GoCmzkWLZcHDh6XtwkUXSUd0FydyQgZ/vvh+WLNGrlsBdCO40jTtiKZp6aZ/QzRNe9p0e5GmadM1TUsxfVWtBGbS0mSHmCm40usECREBDi8LVlkqC27eDIGBco1uxozBMWzpO1z+4EKlwZOlslmh6erU1UfetIWXlxSGL1nSwlA0NdY0BsdFsgEAfPghmk7Hl0OmEdFaJ+SqeHvDXXdJ1/59+9o91M9bz4hEx+muzpQFTXuZnQ3vvitLVklJDlmDLQh86Xkq/QJJe/qRFgOInUVuqclAtHVw1dgofdm8veU+u2KjQCtGJYbz2cApFN12h5xF+J//OHtJLoELFnI9GJ1OtgibgiuApIgAx5cFLXULbt4s7SJczcnaCsICfIgcN4qygBA0FwquDufLQCQlxiSqXrZMNjW46sib9rjmGqm5WnSmym+2YziY7yLBVWMjfPghlZOnciokiohAX2evyHpuvx18fa2yZTinfyR7T5ZRVmP/EsyZsqApc2UafcIjj9j9tW2JiIri66vvJXn/Nvj4Y2cvh5xiU+aqtebqH/+Adevk+6BPHyesrPOMTpI+4d/d/KDMct92m3Ts7+Go4MrRTJokTfcKCwHZMXi8qMqh7sFnCdrr6+XAZjcsCZq5YFg86/sMxbB8pbOX0oR59l5KTHDLkTfuyMSJ8sP+k0+abgrx8yYu1I+DrpK5WrkSTpzg+OVXA5yxv3AHoqLkaJF//xtK2vexGp0UjlGDvSftP4y4pLoeH72OAB+9LGm//74sVSUm2v21bU35vBvZGZeC8cEHpUeXE8ktrSEqyBc/72YXs/v2yVLrZZfB9dc7b3GdpE+4P9HBvmzLrYQvv4SBA6U/3q5dzl6aU1HBlaMx667WrQOkqL2qvpEi06BZe6NpGtX1jS0F7Tt3ygDLnYOrIbFsTBqGd042HDvm7OUAcCi/kphgX0IDvGHjRllSc9fgSqeT2asffpBeXSZcasbg++9DeDiHx00F3Cy4Ajm2pbpa/j/aIS0uBIB9J+0fIEgDUW9pJfL007JM5WZZKzPpSRH8+fw7EadPyzl5TuQsGwaDQZYDg4Lk/EA3KAeaEUIwOjFcOrWHhcnGjOBg6YXlgt6DjkIFV44mI0O6MptKg30jAwHH2THUGYw0GrWWZUE3c2a3REywHxXjTIGri3QNHsqvJCW2WUlQr5dpc3fl2mvlSeCLL5puSo0N4nBBpcONcM+iqEheNV9/PYUG+bHmdsHViBHSV+xf/5IlzjaIDvYlJtiXfXn2D67k6Bsf2eH8wQfSLdxNylWtSe8Tyq64VPb96irZPLBnj9PWklta03Jg8/PPS3PhN9+U5rJuxqikMLKLqymoqIOEBGk6XFEBM2c2jXzraajgytH4+UnTPVNwlehgOwazP05Q6+AqNlb+UbgxQy6YQJF/CJXfL3f2UtA0jcOnK2RJENxn5E17jBwJqaktSoOpscHUG4wOb8o4iwULZPb117+mqKoeL50gxM+CUa6rc//9MvO6ZEm7h6XFhzgmc1UtM1c8/bS8OHj4Ybu/pr0IC/ChX1Qg82f+GkJD4e67nSJuNxo1GVyZM1fr1slM2tVXu/ZEgXYw6662Z5tK2sOGyWHTBw/Kbti6Oieuzjmo4MoZTJ4M27ZBtRx/oBNwzEHBVdPQZp9WwdW4cW6VirbEhUN7sTFxGNqqn5zeEZRXVktVfSMDYoLcb+RNWwghs1erVkmHbqQdA5zRlzkFTYP58+VFy/DhFFfWEx7oc8YV35249FKpZ3rllXbfw2lxIRzOr6TO0HaGyxaUVNeTUpEvHeTvuENaRrgx6X1CWV+KtJP4+ecWFwqOorCyjnqDUZYF8/OlP1RSErz1lsPXYiuGxIfio9exvfncy2nTZLZz1SrpiWaFSa4noYIrZzBpkhQ4b9mCr5eeuFB/sh105W/OXDWVBcvK4Jdf3LokaKZPeADZw8cRnJ8n/Y6cyKHmnYIrVsgTpbsHVyB1V5oGn30GIINHcK7uautW2L1bdikBxdX1RLpbSdCMlxf84Q/SM2hZ2yNF0uJDMBg1u892LKlu4PKl70trgD/9ya6v5QhGJIRxuryOvDmmsT2//73Dxe05Jl+4hGBv+fdUXCxL7W6c1fbz1jOkd4jUXTXnuutkIPvJJ26r1esqKrhyBhMmyK9m3VVUgAMzV/JKt6ksuGWL/OoBwRVA6MVyZl/pUufOujKPhUmJDZYnydBQ153B1hkGDZLaIJOhaICPF4kRAc6dMTh/vpyHee21ABRX1buf3qo5t98uXbkffrjNq/0mUbsddVeaphGac4xRq7+F3/wG4uLs9lqOIj1BBjA7T1bA66+DE8TtZgPR4e/8XepD33wT0tMdugZ7MDoxnF25ZdQbWr1n//hHuPNOqSt7/XX7L2ThwrNmoToDFVw5g/BwGDr0jO4qIpDsYgeXBc3dgmYxuyec+IFzLp5IQWAYRd/84NR1HDpdSVSQDxEB3tIccvp0mZXwBK69Vjr6m7KDqbFOnDFYWSl9i666Ss5sRAZX4e4cXPn4wF//Ku1RTBnC1iRFBhLgo7er7qqyzsBd6z7B6O0tT5AeQFp8CN56QeaJMvmZ93//J8Xt5s9BB5BbUsP0w5uIfO1laWtx880Oe217MjopnHqD8WyLECGkb9ell8qO2E8/tc8CiotlJvDaa2XHrZOlISq4chaTJskhzo2N9I0MoLiqnvJa+5sCniVo37xZ+pK4cUq6Of1jgtmbMpKwzeud+sd1KL9ClswOHXLPkTftcc018qspe5UaG8yRgqqzr1gdwf/+JwMsU0kQZHDltmVBM/PmwfDh8NhjFue16XWCQb2C7Zq5qty1j8v3riLryhugVy+7vY4j8fXSkxYXQuYJU/nqmWdkI8+sWQ6TElT/cpC/f/t3GDXKKtNYd8Esal91oODsO/V6WRo85xz5+TFvnm0HPX//vUxYfPGFHCa+eLHTNcQquHIWkybJWv+ePU0DnLMdUBqsaq650jSZgfCQkqAZw5RziSwtoHhn+6NE7IWmadKGISbYfUfetEdiojQVNYmBU2ODMRg1jjmjY/C99+TFwcSJADQ0GimraXDvsiBIX7FnnpEDnd97z+IhafEh7D9ZbjcDYr/nn6Fe782pO+6zy/M7i/SEMHbnlEn7kMhIaRvQ0CBtA4rsPFaotpYrn/0tOoEsXfm5yfxLK4gJ8WP6oBg+2nCs6SK+BQEBsgz65JMyCBo0SHp6dUfoXlUlS44zZ0JEhEwWPPqoS1QJVHDlLMxmomvWkGTyunLEyamFoD0nR149eFhw1ffKSwA4/Nk3Tnn9/Io6KmoN0uNq2TI57qZfP6esxW5cc430Cdqzh1TTGByHzxjcv1+2sf/6101XqeZBw26fuQJpwjhpEvzlL/Ik0oq0uFAq6gxNGh6b8ssvhH39Of8e9SsCE+Nt//xOZERCGFX1jU3jqRg0SGY6jh+X7ug1dhxEfu+99M0+wIe/ecrzPhOA+2ekUFrdwEfrj1k+wNcXnnhCurePGiW1fJMmyYaUzrJhg9Sqvf02PPigbGwZObJb67clKrhyFomJ0oxv7VoSIxzndWUWtAf66D3CPNQSyZNGUhQcQeNK54zCMXdwpYT5yCs1T8pamZk7V2ZXFi6kf3QgOuEEO4b33pNXqDfe2HRTSZVpFp4nBFdCwHPPyQugV1896+60eKkx22tr3ZXRCHfeicE/gHfGXkFYgAfsZTOaRO0nmplbTpokBw6vWyffT/awDfjgA5g/n7cmXk3x1Att//wuwPA+YUwdGM38NUeaqiQWGThQdlF/9JH0who1Sur6LFxEnEV9vcxOTZokzXZXrYIXX3S5LKAKrpyFEPLNsWYNgT56ooN9HWLEWFJdT6CPHi+9TgZXPj4e0anSHKHTcWrUePrv3UpJpePN68xBxuAD26UeaOZMh6/B7sTGSpH+J5/g56VjaO9Q3l1zhA/WHcXoCLf2+no5h+/SSyEmpunmoir5+3b7sqCZiROlHuj551uMHQIYGBuMTtihY/CNN2DVKjbf8yhFgWGEB3jb9vmdTL/IQEL8vNhxopVz+Ny58NJLslz34IO2fdHMTLjrLhrOm8oLE+adMRD1QO6bnkJJdQP/2Xi8/QOFkIHsgQPy6wsvSN3Uf/4jtZTvviuDpsceg3vukfMWL7kE0tJkyfyWW+TotilTHPMf6yQquHImkyZJM8bjx0mKCHBI5upoYRX9omUZks2bZVu9r6/dX9fRRP7qAmIri/liwY8Of+1D+ZWEBXgTumyp1BnMmOHwNTiEa6+VIuAtW3jnhgzG94/kL0v2cc07GzlWaOcLhSVLoKBAlgSbUVxlLgt60Hv66aelPvO551rc7O+jp390kG07BrOyZAbhwgvZPG02AKH+nhVc6XSC9ISwlpkrM7/7nexo+/vf4Z//tM0L5uTAnDkQGcnBv7+NUadvOVfQwxiZGM6U1Gje/fkI1fXtZK/MREbKLPSqVTL7dOONsvv39tvhoYfO+GRt2AB5ebKcumiRtGAxdQi7Iiq4ciaTJ8uva9eSFOkYO4asgkqSo4NkOnXrVo8rCZrpNe9KACo++R95ZXbUUFjgcH4FqdFBiMWL4cILwd9DP0hnz5aZz08+oVeoH+/fPIaX5qaz/1Q5F/3zZ95fa8cs1vz5sqzequRaYgquwgM9KCAYNkxetb/2mjxRNyMtLoT9tspcGY1w662y1Dp/PqU1DYT4eckst4cxIiGMA6crqKlv5XAvhAysZs+G3/62xRzNTmM0Sj1QWpoMCj77jGy9NN3tHeahnwkm7p+eQlFVPf/tKHvVnHPPlRm+DRukJis7W15UGAyy0SArS042+fFHmbF2cTzvr8adGDJEmkuuXUtSZAB5ZbXUNthvnEVNfSO5pTUyuNq/X5asPDS4ondv6saM44Jf1vH3Hw867GU1TePg6UrOrcyG3Fy4/HKHvbbDCQuToutPP4XGRoQQzBndhx9/ey7j+0fy1Dd2ymJlZ8MPP8iygF7f4q4ic3DlYToh/vIXeUH01FMtbk6LDyG3tIZSk5C/W7z+uhwJ849/QJ8+lFQ3eIZ2zQLpfcJoNGrsae3JBPI9tWCBHAl2/fXSMqezHDokx7/85jfST2v3bpgwgVyzO3t4QDf/B67N6KRwJqdE8c7PR84OYNvD11faNQwbJi0ygoOdbqnQVVRw5Uz0eunWbgquAE7YMXt1tLAKTUMGVx4qZm+O7zVXMeR0FpuXb3GY2Lqwsp6ymgYm7l0nf7+/+pVDXtdpXHONvCr/+eemm+yexfrwQ/n11lvPuqu4qp5Qf2+8PS3b0q+fbDl//32pUTFhM6f2w4dlOfDii5tMLUuq6z1OzG7GLGrPzLZQGgSZbV68WGZHZ82C1atlBqUjDAap2xo+XGZh5s+H5cuhf39AurMH+XoR4u98qwB7c//0FAor61mwqRPZKw/Cwz6B3JBJk2DvXvrr5ZWnPcfgZBXILrbkmEAZXIWFQUqK3V7P6VxxBQCXHt7IC9//4pCXPJRvGnuzYYUs+0ZGOuR1ncasWRAY2GQoasZSFuu2j7Z035OpsVHqM6ZPlyNiWuH2o2/a49FHpSblsceabhpsDq66o7sylwN9fOCdd5oyBaXVDR4nZjcTHexL7zB/MnPaCK4AoqOlB5aXF5x3HkRFyXLh66/LALf1e3nXLhg/Xs6GvPBC2LdPmts2y7zklNTQJ9zfPYeKd5KMvhFMHBDJW6uP2LUi46qo4MrZmPyu+h3MBLBrx2BWQSVCQN9IU3A1Zoxsp/dU+vaFjAyuy93C8v35bD5a3OFDusuh05UkluQReHC/9MzxdAIC5P/z889lB18rzFmse6YO4KcDBRztbolwxQpZFmwlZDfj0cFVTIwcNPz5500zQaODfYkJ9u1e5uq11+Sg6H/+E3r3brq5pLre88qrzRiRENZ25srMgAFysP2nn0qRdWam7FwbNEja6dxyiywhPv44jB4t35uffQZffQXxZ/uD5ZRUe7zeqjn3T0+lsLKOjzdlO3spDseDz6xuwpgx4O1N0OaNhPh52bVjMKugioTwAPwM9fIqy4NLgk3MmUPsL7tIbyzl2e/2283N2syh/ApmHTOVXHtCcAWya7C4WApNLSCE4KqMBAB+PmhhNEZneO896cTchpbNo4MrkMFVVJQc6mx6L6fFh3Q9c3XokHyuX/2qhV8YyMxVmIdmrkAGV7mlNRRUdGDXEh4uA6t33oGjR6Ww+q23pDZo0SKpy/rrX+VIl337pKVDG5mp3NIaj+4UbM3YfhGM7x/JW6uzelz2SgVXzsbfHzIyYO1a+kYFctyOmqus/EqSowNh+3ZZXukJwdWVsmvwCcMBdmSX8sNeG86zssCh05VcfGSL1Fx4oAOzRS64QAY8777b5iGJkQEkRQbw86HCrr9OYaHMCNxwQ5v2IUVV9UR4cLaFkBBZFlyxQg4drq8nLS6Ew/mV1Bk6efJqbJSZF1/fFuVAgHqDkco6g0dnrsy6q13tlQYt0b8/3HGH9GIqKJBZxC1bpCFmOzKAspoGKmoNHu1xZYn7pqeQX1HHws09K3ulgitXYNIk2LKF5CCd3cqCRqPGkcLKHiNmb2LAAEhPZ+TmlQyICeKF7w9gaLTfgOHCo7kMPrLLs7sEW+PjI9vWFy2Swt82mJISzYasos4HAWb+8x85A67ZkObmaJpGSVU9EUGeGxAA0ofpscdkFu/880n3N2Awak2TAazm1VelI/mrr55VwiqtMXddem7mamjvEPQ6QaYlvytr0evlxXFGRoeH5prGFPUO8+xOwdaMT45kbL8I3uxh2SsVXLkCkyZBQwNji46SU1JjlzdgbmkNtQ1GkmNMwVViosdMuu+QK69ErF/H46PCOFJYxadbT9jlZYoq6xi5ex06o7HnlATN/P738j31wAMyI2KBKanR1DQ0su14Seefv6FBlmLGjZNt2hYor5VBhkfMFWwPnU6WoRYsgE2bmHbTpQwozO6c7urgQXjkEdmQcP31Z91dWi3HCHlqtyBAgI8XqbHB3QuuOoHZhqGnZa4AHpiewunyOv5np89eV0QFV67AxIkAjDu5n0ajxoYs209mb+oUNGeuekLWysycOQBM3rOGjKRw/rH8kHXOwZ3kcH4lFxzaSG1cb5caIOoQ/P3l+IrMzDNWCa0YnxyJl07w88EulAZfeOFMQNAGxZ7qcdUW8+bB6tV41Vbz1X8fpP6bpR0/pqhIjg6ZMkX+zt5+26I+qKSH7OUIk1O7I0Y25ZRIyUdP0lyZGZ8cyZi+4byxKqvrmWs3QwVXrkBkJKSlkbR/OwE+epbvP23zl8gqkOXGAVTLkSU9KbgaPBjS0hBffMHDFw+ioKKO99YctfnLZGUXMPnoDgyXzHJb47tucdVV0rftkUeks3Irgny9GJ0U3nlR+/790jzzqqvadWY2B1ceXxZszrhxiM2bKYyKZ95Td8kSn6WmjYMH4a67pDHjo4/KsVc//ABxcRaftqQpc+W5ZUGAEQmhlNcaOOaAua65JTX4ees8P7NqASEE909PJa+slv9tzen4AR6ACq5chUmT0K9fz5TkCFb+km/zrrasAjnvLnzfTnlDTwquQArbf/6Z0f4GLkiL5e2fj1Bk66HOy5bhb6gjcO4Vtn1ed0EI6e6dny+zIxaYkhrNvrzyjju0zBiN0nYhKEgGDu1wZq5gDzt5JSbynxf/y0+p58D990uz0YYGGWStXi0D0kGDpEZr3jzpFv7997JTuQ3Mju+e6tBuZmw/KUD/3s6NLmDqFAzrGR5Xlpg4IJKRiWG8v/ao3bu2XQEVXLkKkyZBWRmzfcrIK6tlf55tHcVlp2AQYtMmqdkYPdqmz+/yzJkjT9Rff81DFw2ipqGR11YetulLxK9eRqV/EOK882z6vG7FmDFw001yPltW1ll3T0mJBmDtYSuzV2+8IceP/P3vEBvb7qHFVTJg82grhjYY0D+OX1/2J8ofeFCW+qZNkyLr886Ts9oef1x6MM2fD0OHdvh8W4+XEOznRUywBw3AtkC/qEDG949kwcZsuza6gDQQ7e3hY2/aQwjBtWMSOVJYxa4cC2OHPAwVXLkKJjPRCaekk/gKG5cGswqqpA3D0qXSnyUoyKbP7/IMGybd6D//nAExQVyVkcCCTcfJtpWvWGMj6ZlrOTh6Mnh7dimlQ555Ru7BQw+dddeQ+BAiA32s010dPy49mC68UNovdEBxlSxl9cTgKi0+BE3oWH/b7+Hf/5a6yupqabGQnQ1PPtlhcGqm3mBk2d5TnJ8W63ljhCxw04S+5JbWsOKXfLu+TsAId/sAAB0DSURBVG5pTY8UszfnomG98PHS8dWOXGcvxe54/l+Ou9C3L8THE7xlA+kJYTb9Qy+rbqCwso5hVMqp4rNm2ey53QYhZGlw5UooKuKBGSkIBB9tOGaTp69YuZrw6jKKZsy0yfO5NfHxMij68ktYtarFXTqdYFJKFGsOFbQvItY0OfRW09oUXbemuKoOP28dAT6eP7etNQNjg9EJ04zBG26Qpdm9e6UXln/nTugbjhRRXmvg4qGW9ViexozBMcSH+vHR+mN2e43qegPFVfU9yp3dEiF+3pw/OJYlO0/SYOdMobNRwZWrIITMXq1Zw4xBMezMKbVel9IBWYWyUzBjj2m6ezuiYI9mzhxpE7B4MbEhfoxPjmSljYLYqk+/oE7vhe8lHj6o2Vp+97s2rRmmpERTWFnfvnXAggVSF/Tss5CUZNVLbjxSTGpscHdW7bb4++jpHx10xqk9NLTLo62+251HkK8Xk1KibLhC18VLr+P68UmszyrikJ0GvJs9rnp65grg8pG9KaqqZ213DIXdgC4HV0KIBCHET0KI/UKIvUKI+023PymEyBVCZJr+XWy75Xo4U6dCTg4zdUVoGvx0wDYn/qx8GVwlrVsh3YUHD7bJ87odo0bJDOHnnwMwfXAMRwurOFLQSfPF1mgagT98y/qkdPr16yHeYR1htmbYuRM++KDFXZNNJ+2fD7Whu8rPl8Ls8eNlh5sVZBVUsju3jEvTz57n1lNIiwthf3dmDAKGRiM/7D3F9MEx+HnrbbQy1+eaMYn4eOlslsluTY4Krpo4NzWasABvjy8NdidzZQB+r2naYOAc4G4hRJrpvr9rmjbC9M8K8xUFII0nhSB59ffEhfqxcr+NgquCKkIa6/Bfs0pmrXpot0pTafDHH6G0lKkDYwC6n73au5fgnOOsGjihx6f9W3DVVdLD7dFHW1gzxIT4MahXMGva0l3dfz9UVkrxtd66E/yizJMIAbN6cnAVH0JuaU1Tp19X2HS0mJLqBmb2kJKgmYhAHy5Nj+fL7bmU1zbY/PlzSnumO7slfLx0XDI8jmX7TlFZZ3u/QVehy8GVpml5mqZtN31fAewHerf/KEW7xMXBpEmIL75g2qAY1hwqsInhWlZBJbML9yHq6npuSdDMnDmyTf2bb0iICGBgbDAruhvELloEwLEJ09Dpemjgaonm1gxPP93irnNTo9l6vJiq1h+uS5bAwoVyvEtaGtagaRqLM3MZ3z+S2BA/W63e7UiLCwHonFN7K5buziPAR895A6NttSy34abxfamub+SLbbb3YcotqcFbLzy++9JaZo/sTW2DkR/22N8Cw1nYRHMlhOgLjAQ2mW66RwixSwjxvhAivI3H3C6E2CqE2FpQ0ElTQU9mzhzYs4dZvmVU1Tey6Uhxt58yq6CSC7I2Sx2GqSuxxzJ2LPTp01QanDY4hi3Hirt3tfr11+xJGERkSl/brNGTyMiAm2+WQVYza4YpqdE0NGpsPNJsGkFZmfRoGjoU/vhHq19iV04Zx4qquWxEz81agcxcAWd0V52k0ajxw95TTB3Us0qCZob1CWVkYhj/3nDc5o7tOSXVxIf5q4svE6MSw0mI8OfrTM8tDXY7uBJCBAFfAA9omlYOvAkkAyOAPOBlS4/TNO0dTdMyNE3LiI7ueVdJbXLllQCM3voTft66blsyNDQaySmoYMSudXDxxcomQKeDK66QYumKCqYPisFg1NouUXVETg5s3crSfmNJ6aFi6g55+mn5vrv+evn9v/7FmDXfMvPoZo5/uVSOzDl6FP7wB8jLk2aXPtbbKSzKPImPXsdFPayU1ZqoIF9iQ3y7nLnacqyYwsr6HtMlaImbJ/TlaGEVaw7bVmytbBhaIoRg9ojerDtcyOnyWmcvxy50K7gSQngjA6sFmqZ9CaBp2mlN0xo1TTMC7wI9zAq8m/TuDRMm4P3Vl0waEMWKbrq1Hy+qZmjuAQLLinumBYMl5syBujpYupSRieGEBXiz4pcuBrGLFwPwQ8p4UmJ6mHeYtcTHw8svS3H7Y4/Bvffic+vNvPnZU9z62K1yDmP//vDuu7K7sBPTAxqNGkt2nWTqoGhC/Xv4hQOyNNjVzNV3u/Pw89b1yJKgmZlD44gK8rW5LUNOSY3SY7bi8pG9MWqwZOdJZy/FLnSnW1AA7wH7NU17pdntzS97ZgN7ur68HsqcOZCZyWVBNeSU1HDwdNe72bIKKpl+eDOalxdcdJENF+nGTJgAvXrB55+j1wmmDoxh1YECGrtSCli0iIqEfmRF9iElVgVXbXLHHdLUsrYWTp+GgwdZ9O7XzLv6bxR++DG8/z589FGbY3PaYkNWEQUVdVw2Qsk9QZYGD+dXdlqraTRqfLfnFOelxhDo2/N8wsz4eOmYNy6Rnw7kc9xG8wZrGxopqKijTw92Z7dE/+gg0hPCPLZrsDuZq4nADcC0VrYLLwghdgshdgFTgd/aYqE9ClNp8Lw9PwN0PauCDK5mHN5E46TJEG5R/tbz0Oth9mzpVl9dzbRBMRRX1ZN5orRzz1NWBj/9xO4x5+HrrVcfntbg6wsxMZCSwpBLp7O+7wh+GDQBbrkFbrxR3t8JFmXmEuTrxbRBMXZasHuRFheKwahxqJMXZNuzS8ivqGPmMGUlct24RPRC8N+Nx23yfHllsuylMldnM3tEPHtPlnPQTv5izqQ73YJrNU0TmqYNb267oGnaDZqmDTPdfqmmaXm2XHCPIDERxo4l+JtFDO0d0i1LhpLdBxhYmI3XZT28S7A1c+bITMo33zAlNRq9TrCys0Hsu+9CQwMrU8eTHB2EXolVO0VydCC9w/z5+WDXGlpqGxr5fs8pLhraq0cKsC3RJGrvpO5q6e5T+HjpmD7YuhE5nkxsiB8XDe3Fp1tOUF3ffasAc5k2MVJdfLXmkvR49Drhkdkr5dDuqsyZA1u3Mjusge3ZJRRXdc27Jnb1MvmN0lu1ZMoUGDAA7rmH0LwTjOkb3jlLhh9/hD/9CWbN4ruQ/qok2AWEEExOiWL94aIujcJYdSCfijpDj+8SbE5SRAABPvpO6a5kSTCPc1OjCerBJcHm3DShL+W1BhZldl8PtHBLNnGhfoxMCLPByjyLqCBfpqREsWhHrs07NJ2NCq5cFVNpcObB9Rg1eSLpLJqmMXT7z+QnJENysq1X6N54eUlPJYMBLr6Yi+N9+eVUBbkms792OXhQGmQOHkzl+x+RW1arxOxdZEpqNBV1hs6XZIGvd5wkKsiX8f0j7bAy90SnEwzupKg9M6eUvLJaLlYlwSYyksJJiwvho/XHutlQVMWaQ4VcMyYRrx4wBLsrXD6yNyfLatl8rPu2Q66E+m27Kv37w6hRxC3/lphg3y4ZXRbmnGb08d2cOvd8OyzQAxg0CL7+Go4eZe4z9+FjaOjYrb2kRGYBTcFZVo0sBSobhq4xMTkKnYA1nSwNltU0sPJAPpcMj1MnrVakxYWwL6/c6kzAd7vz8NYLVRJshhCCmyYk8cupCjYf7fpJ/+PN2eh1gmvGJthwdZ7FBWm9CPTR87WHlQbVp5IrM2cOYuNGZkcZ+flgAfWGzpVOSr5cgrexEeMll9hpgR7AlCnwwQf4b1jH6ytfZ+W+dhyDDQaZsTp6FL78Evr2bRJiqsxV1wgN8GZEQhirOznE9Ye9p6g3GLl8pOoSbE1afAiVdYameXbtoWkaS3efYnJKNCF+ysqiOZeN6E1YgDf/3tA1YXudoZH/bc3h/MGxPXpyQEf4++i5cGgvvt2dR21D9yeSuAoquHJlTKXB2Uc3UVFnYGsn06beS7+lMCCUmBnn2mN1nsO8efC3v3H+juWM/uCfbYtYf/c7WL4c3noLJk8G4HB+JT56HYkRSqzaVaakRrMrp5SSTugKF2eeJCkygPQ+oXZcmXtiHoOzK7fjUuvu3DJyS2uYOVSVBFvj563n6owEvt97irwyK+QCrfh+zymKq+q57pxEO6zOs5g9sjcVtQZ+6u6cVxdCBVeuTGoqDB9Oytof8PHSsbwzpcGGBnqt+4mfU8bSKzzQfmv0FB55hNNz5nHP2k84+uK/zr7/7bfhtddkgHXrrU03H8qvpH90oCpNdYPJKdFoGqy10hU7v7yW9VmFXJYej+ipQ8jbYWCvYGKCfXns6z1saj5eyAJLd5/CSyc4P02VBC1x/TlJGDWND7tgKrpgYzZJkQFMTI6y/cI8jAnJUUQH+3pU16A6I7g6c+agX7+eiyOMrPjltPXiyrVr8a8qZ3/GuWqelTUIQfi/32dDv5EMeuIPMkNl5qef4J57YOZMeOGFFg87lF/BAFUS7BbpfUIJ8fOy2pJhya48jBpcqoxDLeLnred/vxlPRKAP17+3ia92WB5ErGmyS3DCgCjCAqwfN9STSIgI4LL0eD5Yd4zsomqrH3fwdAWbjxVz3bhE9flrBXqd4LL0eH46kE9pddc6410NFVy5OnPmgKYxL3cbx4uqySqw0jV4yRLqvLwpnXSeXZfnSfj4+/K/h//O0ag+aFdeCXv2wOHD8neQkgKffCINSE1U10tdS0qMErN3By+9jkkpUaw5VGjVxcPizFyG9g5RQW07JEUG8tWdE8lIiuC3n+7k7z8ePGtv9+WVc7yomotVSbBd/jRzMF46wVPf7LP6MR9vysZHr2POaCVkt5bZo3rT0KjxzS7PsMZUwZWrM3gwpKWRvklmUqwyutQ0jIsWsz5xOAkJyrm6M0wYlcyNVzyOwT9ADro2+4MtWQKhLfU9Rwqq0DSUx5UNmJISzanyWpbsyms3wDpaWMXOnDIuS1dZq44IDfDmo1vHMnd0H/654hC/+2xni7E43+0+hV4nuGCICq7ao1eoH/dOS2H5/tNWWeJU1xv4YlsOFw/rRUSgyghaS1pcCKmxQR7TNaiCK3dgzhx8169lfJDBOkuGX35BdySL5QPGkRytTvyd4byB0eSFxvD5k29CcbHMXH3xxVk+YUajxiebswFIVTYM3ebCIb1Ijg7kvk92cO27G9mdU2bxuEWZuQgBl6THWbxf0RIfLx0vzBnOHy4cyFc7crlh/mZKqupNXYJ5nNM/QgUAVnDrpL70iwrkqSX7OuzaXrLzJBV1Bq47J8lBq/MMhBDMHtmHrcdL2NiBVtAdUMGVO2AqDd6an8nW4yWUVTe0f/zixQCsSB5LcowSs3eGqCBfRiSEsbAxGlavhmXL4LzzWhxjaDTy0Be7WLApm5sn9FXlKRsQHujD9w9M4anLhnDwdCWz/rWWBxbuIKfkjM5F0zQWZ55kXL8I4kLVnDZrEUJw99QBvHbtSDJzSpn9xjp+2HuKI4VVzByqglRr8PXS8/isNI4UVvH+uqPtHrtgUzYDY4PJSFKzXDvLTROSSIoM4MH/7aSyrvujh5yJCq7cgaFDITWVc7b/RKNRY9HODtKmS5ZwesAQ8kOj6BupgqvOMn1QDDtPlFKQOhSmTm1xX52hkXs+3sHn23K4f3oKT8xKc9IqPQ9vvY4bx/dl9R/O4+6pyXy35xTTXl7Ns0v3U1bTwJ7cco4UVnG5ErJ3iVnp8Xzyf+MorzXwm/9uRwiZMVRYx9SBMcwYHMtrKw5xurzW4jG7ckrZlVPGdeckqk7WLhDg48XLc9PJLa3h6W/3O3s53UIFV+6AEDB3LkEb1zI9SvDqikNtR/UFBbB+PVuHTyIhIkANtO0C0wbJtvSfWukrquoM3PbhVr7fe4rHL0njt+enqg9QOxDs580fLhzETw+ex6zh8byz5gjnvvgTTy7Zi7deqGxLNxidFMHXd00kNTaI6YNiiQ72dfaS3IrHL0mjwajx7FLLJ/4FG7Px99Yrc9tukNE3gtun9OeTzdlnfQa7Eyq4chfmzEE0NvKk8TCFlfW8vTrL8nHffguaxnf9MpTeqosMjgsmLtSPlc30baXV9Vz/3ibWZxXy4pzh3DqpnxNX2DOID/Pn5avS+ebeSQyND2Xb8RKmDowhNEA5iXeHxMgAfnhgCm9dP8rZS3E7EiMDuGNKf77OPHnWWJyymgYW7zzJZSPildt9N/nd+amkxgbxx893ua01gwqu3IX0dEhOJmHlUi5Nj+fdNUc4VWZKTVdWwrZtsGABvPEGWu/e/OgbT3K0Kgl2BSEEUwfFsOZQAXWGRvLLa7n67Y3szS3njetGMzdDtVc7kiHxofzntrF8edcEnp49zNnL8QiEEMr4tovcdd4A4kP9eGLxXhqbzW/8ekcuNQ2NXDdOCdm7i6+XnleuGkFxVT1PLN7r7OV0CfXX5S4IIYXtK1bwl2PLefS7NymffB4kJEBwMGRkwPXXw7ZtlN94K3WNmspcdYPpg2Koqm/ki225zH17AydKqvngljFcpDyBnIIQglGJ4aqMpXA6/j56Hv1VGvvzyvl4k5w7qGkaCzYdJ71PKMPUSCabMLR3KPdNT2FR5kmW7nY/7ysVXLkTV18NBgPhjzzEVftWUlNYTOm4SfD009IuYO9eqK5mx033AJCsuti6zITkKHy9dDzy1W5KqxtY8OtxTBygxlgoFAq4eFgvxveP5KVlBymuqmfLsRIOnq5UWSsbc9d5yaT3CeXRr3aTX2G5icBVUcGVOzFyJOzbBydPUltQzE2/+Rf3znwAHnkErrgC0tLA15fD+ZUAKnPVDfx99FwwpBcxwb58dsd4RiaqtmqFQiERQvCXy4ZQWWfgpWUHWLDpOMF+Xsp/zcZ46XW8fFU6VfWNPPLlHuvHv7kAKrhyNwYPhrg4QgN9uHdaCmsOFbK61Uy2rIIqwgO8lTlgN3lp7nDW/nEaA3spk1CFQtGS1NhgbhyfxCebs1m6O48rR/UhwMfL2cvyOAbEBPPQhQNZvv80n2+zPCfTFVHBlRtzwznScO2Zb/e3EFZmFVSqrJUN8PXS4+Ol/kQUCoVlHpiRSkSADw2NGteNS3T2cjyWWyf2Y1y/CJ5aso/c0hpnL8cq1JnDjfHx0vHQhYM4cLqCL5pF9EdUcKVQKBR2J9Tfm5evSue3M1JJUWOw7IZOJ3hpbjpGTeOhz3diNLp+eVAFV27OxcN6MTIxjJeWHaC63kBpdT2FlfVq7I1CoVA4gPMGxnD/jBRnL8PjSYgI4LFL0lh3uIinvtnn8gGWCq7cHCEEj/1qMPkVdcxfc5SsgipAidkVCoVC4VlcMyaBWyb25cP1x7j74+3UNjQ6e0ltotR3HsDopAhmDu3FW6uz0OvkOBYVXCkUCoXCkxBC8MSsIfQJD+Bv3+4jf/4m3r0xwyWbt1TmykN46KJB1BuMvLriED56HX3C/Z29JIVCoVAobM5tk/rxxrxR7Mkt48o313O8qMrZSzoLFVx5CP2iArn+nCTqDEb6RgWo0RYKhUKh8FhmDovj4/8bR2l1PbPfWM+O7BJnL6kF6gzsQdw3PYVgPy9SVdeKQqFQKDyc0UkRfHnXRIL9vLj23Y38sPeUs5fUhAquPIiIQB++umsij1+S5uylKBQKhUJhd/pFBfLlnRMY1CuE3/x3Gx+uO+rsJQEquPI4BsQEERPi5+xlKBQKhULhECKDfPnk/87h/MGxPLlkH3/7Zp/TR+Wo4EqhUCgUCoVb4++j583rR3PzhL4E+XkhhHDqeuxmxSCEuAj4J6AH5mua9py9XkuhUCgUCkXPRq8TPDHLNWQxdslcCSH0wOvATCANuFYI4Rr/Y4VCoVAoFB6JEMLpWSuwX1lwLHBY07QjmqbVAwuBy+z0WgqFQqFQKBQug72Cq97AiWY/55huUygUCoVCofBo7BVcWcrJtZDuCyFuF0JsFUJsLSgosNMyFAqFQqFQKByLvYKrHCCh2c99gJPND9A07R1N0zI0TcuIjo620zIUCoVCoVAoHIu9gqstQIoQop8Qwge4Blhsp9dSKBQKhUKhcBnsYsWgaZpBCHEP8APSiuF9TdP22uO1FAqFQqFQKFwJu/lcaZq2FFhqr+dXKBQKhUKhcEWUQ7tCoVAoFAqFDVHBlUKhUCgUCoUNUcGVQqFQKBQKhQ1RwZVCoVAoFAqFDVHBlUKhUCgUCoUNEZqmdXyUvRchRAFw3NnrsBFRQKGzF+EhqL20HWovbYfaS9uh9tJ2qL20LR3tZ5KmaW06oLtEcOVJCCG2apqW4ex1eAJqL22H2kvbofbSdqi9tB1qL21Ld/dTlQUVCoVCoVAobIgKrhQKhUKhUChsiAqubM87zl6AB6H20naovbQdai9th9pL26H20rZ0az+V5kqhUCgUCoXChqjMlUKhUCgUCoUNUcFVJxBCJAghfhJC7BdC7BVC3G+6/UkhRK4QItP07+Jmj3lYCHFYCHFACHGh81bvWrS1l6b77jXt114hxAvNbld7aYF23pefNntPHhNCZDZ7jNpLC7SzlyOEEBtNe7lVCDG22WPUXlqgnb1MF0JsEELsFkIsEUKENHuM2ss2EEL4CSE2CyF2mvbzL6bbI4QQPwohDpm+hjd7jNpPC7Szl3NNPxuFEBmtHtO5vdQ0Tf2z8h8QB4wyfR8MHATSgCeBBy0cnwbsBHyBfkAWoHf2/8MV/rWzl1OB5YCv6b4YtZdd28tWx7wMPK72smt7CSwDZppuvxhYpfayy3u5BTjXdPutwF/VXlq1nwIIMn3vDWwCzgFeAP5kuv1PwPNqP7u8l4OBgcAqIKPZ8Z3eS5W56gSapuVpmrbd9H0FsB/o3c5DLgMWappWp2naUeAwMLad43sM7ezlncBzmqbVme7LNz1E7WUbdPS+FEII4CrgE9NNai/boJ291ABzhiUUOGn6Xu1lG7SzlwOBn02H/Qhcafpe7WU7aJJK04/epn8act8+Mt3+EXC56Xu1n23Q1l5qmrZf07QDFh7S6b1UwVUXEUL0BUYiI16Ae4QQu4QQ7zdLy/YGTjR7WA7tB2M9klZ7mQpMFkJsEkKsFkKMMR2m9tIKLLwvASYDpzVNO2T6We2lFbTayweAF4UQJ4CXgIdNh6m9tIJWe7kHuNR011wgwfS92ssOEELoTeX9fOBHTdM2AbGapuWBDGiBGNPhaj/boY29bItO76UKrrqAECII+AJ4QNO0cuBNIBkYAeQhSzAgU4+tUe2ZzbCwl15AODJF+wfgM1PmRe1lB1jYSzPXciZrBWovO8TCXt4J/FbTtATgt8B75kMtPFztZTMs7OWtwN1CiG3IcmG9+VALD1d72QxN0xo1TRsB9AHGCiGGtnO42s92sPdequCqkwghvJEfFAs0TfsSQNO006ZflBF4lzPpwhzOXJWB/CWeRAFY3kvknn1pSttuBozIGU9qL9uhjb1ECOEFXAF82uxwtZft0MZe3gSYv/8f6m/cKtr4vPxF07QLNE0bjQz6s0yHq720Ek3TSpG6oIuA00KIOADTV7OUQu2nFbTay7bo9F6q4KoTmDIo7wH7NU17pdntcc0Om41MewMsBq4RQvgKIfoBKcBmR63XlWlrL4GvgWmmY1L/v727V6kjCOMw/rxGBDubI3gB9vYWQhCs05lCTiFqce5AchNiY3XE9hSBQOItpBVMQkoR8RoslNdiJ6jgrFEGEXx+zc5+FMOf3eVlZj+AGbqfZ5plRU+WAKvA38y8uLfNLCt6srwEVkr7I/BvitUsK3rul/NlOQV8AQ7KLrPsERGDiJgr7VnKtU2X27AcNgS+lbZ5VvRkWfPsLKdbdfadWAY2gNO4e619F/gcEUt0w4RnwA5AZv6OiAnwB7gGRpl58+q9fptqWY6BcUT8opsuGGb3uoZZ1j2aZWYeA+s8nBL0vOxXOy+3gL0yEngFbINZPqGW5WJEjMr6V+AQzPI/LABHEfGBbmBkkpnfI+In3eMTm8A53XNs5tmvluUnYB8YAD8i4iQz116SpV9olyRJashpQUmSpIYsriRJkhqyuJIkSWrI4kqSJKkhiytJkqSGLK4kSZIasriSJElqyOJKkiSpoVvJQVi/C5Mc5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test.SUNACTIVITY, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARMA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 33.95456896482045\n",
      "MSE: 2041.3852298217791\n",
      "EMSE: 45.18169131209874\n"
     ]
    },
    {
     "data": {
      "image/png": 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PP46mpibMmjUroRYNo63lF7/4BWbPno2mpibk5eXh6quvTvk5jcXiVeln24IFCzgNi5S/S/9rI5prC/GrW+cm9Phv/N8uHLQPYNN3Ls/wygghRB4OHTqEmTNnSr0Mkkbx/p8yxnZxzheM9jmUuSIJ4ZyjfcCbUDG7aE6NDad6PHB4AhlcGSGEECIvFFyRhPR5AvAHw+M2EI3VOKkQAKjfFSGEkJwybnDFGHuCMdbJGNsfc9szjLE9kT8nGWN7IrdPYYwNxty3bvQrEyURG4gmWnMFDBW1t1BROyGEkBySSCuG9QB+DeDP4g2c85vFvzPG/htAbGriOOe8OV0LJPLQHulxlUzmymbWY3KJGfuoqJ0QkkMSbVVA5C/VuvRxM1ec880AeuPdx4Tvni8AeDqlr04Uo31AbCB6br+SsTTWFNKJQUJIzjCZTOjp6Un5lzKRD845enp6UuraPtEmopcA6OCcH425rZ4x9jGAAQAPcM7fn+DXIDLQ7vBCw4DSgvEbiMZqnGTDq3vb0O3yobTAmKHVEUKIPNTU1KC1tRVdXV1SL4WkgclkSqlr+0SDq1sxPGtlB1DHOe9hjM0H8BJjbBbnfGDkJzLG7gRwJ4C4PS6IvNgdXpRbTNBpkzsDMadGbCbqwOXTyzOxNEIIkQ29Xh8dC0NyV8qnBRljOgCrATwj3sY593HOeyJ/3wXgOIBp8T6fc/4o53wB53xBWVlZqssgWdLu8CZVbyWaVW0FY6C6K0IIITljIq0YrgBwmHPeKt7AGCtjjGkjfz8PwFQAn05siUQOku1xJbKY9DivNJ/qrgghhOSMRFoxPA1gO4DpjLFWxtjayF234NxC9ksBtDDG9gJ4DsBdnPO4xfBEWdodXlQk0YYhVmNNIc0YJIQQkjPGrbninN86yu1r4tz2PIDnJ74sIidObwAuXzClzBUg9Lt68eOz6BhIPUAjhBBClII6tJNxpdLjKlajWNROW4OEEEJyAAVXZFyp9rgSzaq2QcOAllbaGiSEEKJ+FFyRcdnFzFWKW3p5Bi2mVVjQQjMGCSGE5AAKrsi4xG3BcmvqTUDnTLJhX6uDuhYTQghRPQquyLjaB7woyTfApNemfI3GGht63H60RQI1QgghRK0ouCLjmkgbBtGcmkIAwD6quyKEEKJyFFyRcdkdqTUQjTWj0gKdhlEzUUIIIapHwRUZV7tjMOU2DCKTXovplRbso6J2QgghKkfBFRmTNxBCnycw4cwVINRdtVBROyGEEJWj4IqMqSPS4yodndUbawrhGAzgdK9nwtcihBBC5IqCKzImscdVqg1EY82ZJHRqp7orQgghakbBFRmTmLmaaM0VAEyrsMCg01DdFSGEEFWj4IqMyT7BuYKxDDoNZlZZaQwOIYQQVaPgioyp3eGFxahDgVGXlus1TrJh/9kBhMNU1E4IIUSdKLgiY7KnoQ1DrDk1Nrh8QZzocaftmoQQQoicUHBFxtQ+4EtrcNVYIxS176OidkIIISpFwRUZU7tjEJVpaMMguqCsACa9hk4MEkIIUS0KrsiogqEwupy+tDQQFem0GsyutlFROyGEENWi4IqMqsvlQ5gDlWnocRVrTo0NB9oGEAyF03pdQgghRA4ouCKjGmogmr7MFSDUXQ0GQjjeRUXthBBC1IeCKzKqdkf6Rt/EOq+0AABwik4MEkIIUSEKrsioMpW5qio0Dbs+IUR9Xvy4FW/st0u9DEIkkZ7OkESVOga8MOo0KDTr03rd0nwj9FpGwRUhKvabjcfh9AawoqESWg2TejmEZBVlrsio7A4vKm0mMJbeF0aNhqHSZoLdMZjW6xJC5KPL6UPHgA87TvRIvRRCso6CKzKqdPe4ilVlzYO9nzJXRF563X50DnjBOY1nmghfMATHYAAA8OreNolXQ0j20bYgGZXd4cWCyUUZuXZVoQm7TvVl5NqEpOqqX2xGp9MHi1GH+rJ8nFeaj/PKCnBeWT7OKy1AfWk+8gxaqZcpez0uPwDAqNNgw752PLhqFow6et5I7qDgisQVDnN0DvjS3uNKVGXLQ8eAHeEwh4bqMYgMDPpD6HT6cPn0MtQVm/FptxsfnezDS3uGZ15WNVXjV7fOlWiVytDt8gEAbpxfg7/sOI3NR7qxoqFC4lURkj0UXJG4ej1++ENhVFqNGbl+daEJgRBHt9uHcktmth4JSUaPWwgIrpxViVsW1kVvH/SHcKLbjRPdbrx5sB0v72nDt5ZdgKkVFqmWKntdTuG5vGHuJLy+z45X9rZRcEVyCtVckbjEHleZzFwBoLorIhu9bmErq6Rg+BuKPIMWDdVWXNNYhR9c2wCdhuH53WelWKJiiJmrKpsJn51ThbcOtsPtC0q8KkKyh4IrEld7hnpcicTr0olBIhc9keCqON8w6mNKC4xYOr0ML37cilCYit5H0x2puSotMOL65knwBsJ462CHxKsiJHtyJrg61ulET+TdFBmffUDMXGU2uGqjzBWRCbEIu2SM4AoAbpxXg44BH7Ye687GshSpy+mDxaSDSa/FgslFqLaZ8AqdGiQ5ZNzgijH2BGOskzG2P+a2BxljZxljeyJ/Phtz378yxo4xxj5hjF2ZqYUn42z/IK74n814bler1EtRjHbHILQahtKCzNRcFecbYNRpKHNFZKM3UnNVUjB2cLVsZjlseXq8sJteT0bT5fKhLPLaodEwXNdUjc1HutAXyQ4SonaJZK7WA7gqzu2PcM6bI382AABjrAHALQBmRT7nt4wxyc/fTirMQ1ONDa+20DunRNkdXlRYjBnrrMwYQ5XNRF3aiWz0uPwwaDUoMI59zseo0+K6piq8caAdTm8gS6tTli6nb9gbs1XN1QiGOTbQOBySI8YNrjjnmwH0Jni96wH8lXPu45yfAHAMwMIJrC9trmuqxv6zA/i0yyX1UhShY8CbsS1BUZUtj4IrIhs9bj9KCgwJTSS4cV4NvIEwXt/XnoWVKU+3y4cyy1Bw1VBlxQXlBXh5D73BJblhIjVX32SMtUS2DcVOk5MAnIl5TGvktnMwxu5kjO1kjO3s6uqawDISc01jFQDg7y30zikR4uibTKqymWDvp21BIg+9bv+YxeyxmmsLcV5pPp6jrcG4hMzV0HPJGMOqpmp8eKIXbfQzT3JAqsHV7wCcD6AZgB3Af0duj/eWL+6RGs75o5zzBZzzBWVlZSkuI3FVtjwsnFJMoxgSwDlHu8OLSmtm2jCIqgpN6HD66NQVkYUely/h4Ioxhhvn1+DDE7040+vJ8MqUxRsIwekNDstcAULzVQD4O5VnkByQUnDFOe/gnIc452EAj2Fo668VQG3MQ2sAyOYn6bqmKhztdOGTdqfUS5E1py8Ijz+UsTYMoipbHkJhjk4nbQ0S6fW4/Ukd4Pjc3ElgDHiBel4NI7a0GPlcTinNR1NtIW0NkpyQUnDFGKuK+c8bAIgnCV8BcAtjzMgYqwcwFcCHE1ti+lw9pwoaRoNExzPUQDSzwVV1odjrioIrIr0eV+LbgoBwUOYz55XghY9badBzDLE7e7xAdVVTNQ60DeBYJ9W+EnVLpBXD0wC2A5jOGGtljK0F8F+MsX2MsRYAlwO4FwA45wcA/A3AQQBvALiHcx7K2OqTVFpgxOILSvFqSxu9GI7BnqXgirq0E7kY9IcwGAiN24ZhpBvn1eBUj4eGkMfojgRXI7cFAeC6xiowBup5RVQvkdOCt3LOqzjnes55Def8cc75VzjnczjnjZzzVZxze8zjH+acn885n845fz2zy0/edY3VONXjwb6zDqmXIlvtkd5TldbMF7QD1KWdSE+cKzheA9GRrppdCbNBi+epsD2qK9KsuTROcFVuNeHi80vwyp6z9AaXqFrOdGgXXTmrEnoto63BMbQ7hBfHigwHV7Y8PfL0WurSTiQndmcvzk+uaW6+UYerZlfi73vt8AZkk6SXVHd0WzB+oLqqqRonx3mDyznHG/vt+PIfduBktzsj6yQkk3IuuLKZ9bh0ahn+3mJHmE6pxdU+MIjSAgMMusx+ezDGUFVooswVkdzQ0ObkMlcA8Pl5NXD6gjQ7L6LL5YPVpINRF79/9FWzqmDQakYtbD/W6cRXHv8Qd/3fbmw51o2tx2nMEFGenAuuAKGhqN3hxa7TVCcRTzZ6XImqqZEokQHxhFuy24IAcNF5Jai2mWhrMGJkA9GRbGY9lk4vw6t724a1YXF6A3j4tYO46hfvo6W1Hz+8tgEaBnQM0ExYojw5GVxd0VABo05DW4OjyEaPK5EwAocyV0Ra4lD3ZE4LijQahhvmTcLmI13oHKA3Ct3O8VtarGquRqfThx0nehAOczy/qxXL/nsT/rDlBD4/vwYb71+KO5bUo7TASM8pUaScDK4KjDosn1mODfvsCIbCUi9HdtoHvBnvcSWqspnQ6fQhQP8fiIR63X4YdOPPFRzN6nk1CHPgpT3U86rL5YtbzB5r+YwK5Bu0+P2mT/H5ddvwL8/uxaTCPLx092L89MZGlESCswqrCR0UXBEFysngChBODXa7/NhxItGxiblh0B9CvyeQtW3BqsI8cA56ASWS6nb5UZKf2FzBeM4vK0BzbSGe30Wn4LqdPpSNk7nKM2hx5axKbDrShdO9Hvzs84144RsXo6m2cNjjKqxGtNO2IFGgnA2uLp9RjnyDlrYGR2iPBDmZbsMgEjNk7VR3RSTU6/alVMwe68b5Nfikw4kDbQNpWpXyeAMhOH3njr6J594V0/D9z87Eu/cvxU0LaqHRnBvYlltNtC1IFClngyuTXouVsyrx+v52+IO0JSXqdo3eADATqguF2q42Cq6IhIShzRP7nr+uUTgFl8uF7WJ39vEyVwBQW2zG1y49D1aTftTHVFhM6HH76TWaKE7OBleAMGvQMRjAlmNdUi9FNly+IACgwJRa7Umyoo1E+6monUhH3BaciEKzActnluOVPW05W0M41EB0Ys+lqMJqHHZdQpQip4OrJReUwZanx6t77eM/OEe4I8FVviE7wZXFpEeBUUftGIiket0TD64A4PrmavS4/fj4dH8aVqU80dE3BekpK6iIvPmimkyiNDkdXBl0Glw9uxJvHmin7soR0eDKGL8BYCZU2Uxoo8wVkYjHH8RgIITiCdZcAcCCKcUAgD1ncrOHXnek033aMlcWIbiiuiuiNDkdXAFCQ1G3P4SNhzulXoosuHxCkJnqkfRUVBXmRQvpCck2cfRN6QRrrgBhOHxNUR72nMnNzJVYc1WShucSGNoWpAMvRGlyPri66LwSlBYY8fcW2hoEYjNX2Quuqm0mmi9IJCOOvkmlgWg8zbWF2JOr24IuHwrN+rSNzioyG6DXMnQ4qeaKKEvOB1daDcM1cyrxzuGOaDF3LnP7gjDoNNBrs/etUWXLQ7fLB1+QtmZJ9vW4I93Z07AtCAjBVZvDm5NbWV1O37jd2ZOh0TCUW6iRKFGenA+uAODapmp4A2G8c4gGr7p8waxuCQJDJwY7HPTulGRfOrcFAWBundAI8+Mc3Brsdo3fQDRZ5VYjOqmRKFEYCq4AzK8rQpXNhJ9sOIT/eP0Qdp7sHTZQNJe4fcGsFrMDQFWhEFy10YxBIoHotmCaMlezqm3QaVhO1l0lMvomWZU0AocoUHZTFDKl0TD89xea8Lv3juPx90/g95s+RXG+ActmlOOKmRW4ZGppVmuQpOTyhbLWhkFUZRMaiVLRKpFCT2SuYL4hPW8qTHotZlZZc7LuKpHRN8mqsJqw9Vh3Wq9JSKblRsSQgIvPL8XF55diwBvA5iNdePtgB9480I7ndrXCoNNg8fklWNVcjRvm1ki91IxyS7AtWE2ZKyKhHpcfpROYKxhPc20hXtjdilCYQxtnrIsaefxBuP2htLVhEJVbjRjwBjHoDyEvTQEwIZlGwdUIVpMe1zZW49rGagRCYew82Ye3D3Xgjf3tuPeZvbhkallaCzblxu0Posic3hfH8ZgNOtjy9LDTiUEigR63L21bgqKm2kI8+cEpHO9yYVqFJa3XlqtuZ6R2Ld2ZK8tQI9EppflpvTYhmUI1V2PQazX4zPkl+MG1DfjBtQ0A1L91JUVBOyAUtdspc0UkIHRnT29A0FwrFLXn0tZgV4bmklZYqUs7UR4KrhJUmYlOMckAACAASURBVCNjGKQoaAfELu3qfm6JPPWkYa7gSOeV5sNi0uXUicFkhjYnQ2wkSr2uiJJQcJWgaKdg1QdXIUmK96lLO5FKj9uXtgaiIo2GCc1Ecyi46s5Q5qrcSiNwiPJQcJWgsgIjGAM6VNxvhXMOt1+abcFqmwm9bj/NeCRZ5fEH4Q2EUZKBOsrm2kJ80j4Ajz83mhOLmat0B6pWkw55eq3qdw2IulBwlSCdVoPSAiM6VFxz5fGHwHl2R9+IxHYMdhU/v0R+xAai6d4WBITgKsyBfa2OtF9bjrpdQgYw3dMdGGOosBrRruI3tkR9KLhKQqXVhA6nen/5SzFXUCR2abf3U1E7yZ6eNM8VjBUtas+RrcFulw+laT51KSqnRqJEYSi4SkKF1ajq04LibMUCKQraC4XMVZuKn18iP72RuYIlGQgKSgqMqC3Oy5ngKt1zBWNVWE1Uc0UUhYKrJFRYTehU8YkVt0+od8p2h3ZgKHPVTu0YSBZ1R7cFMxMUNNcW5Uxw1e3yp72YXVRhMaJjwAfOc3MsGVEeCq6SUGEViq59QXUWXbv9YuYq+8GVSa9Fcb6BMlckq8S5gpnIXAFAU40Ndoc3J7a0Mp25GgyE4PTlxuEAonwUXCVBbMeg1gntUtZcAZFGolRzRbKo1+2HUaeBOUNjVebW5UbdldsXxGAglLnMlY3aMRBloeAqCWKn4E6VFrW75BBcUeaKZFG3y4eSNM8VjDWr2gadhqk+uBLbMGQscxUJ2tod6nxjS9Rn3OCKMfYEY6yTMbY/5rafMcYOM8ZaGGMvMsYKI7dPYYwNMsb2RP6sy+Tis00MrtT6Ay7WXEmxLQgI7RjaKHNFsqjX7c9IjyuRSa/FzCqr6sfgZKqBqIhG4BClSSRztR7AVSNuewvAbM55I4AjAP415r7jnPPmyJ+70rNMeahU+Q/40LagNJPnqwpNGPAGo+sgJNN63f6MtGGI1VxbiJbWfoTC6i3GFoOrzLViEEfgqPO1l6jPuMEV53wzgN4Rt73JORd/A34AoCYDa5OdQrMeBp1GtcFVdFtQgtOCAFBNjURJlvW4/BkrZhc11xbC7Q/hWKcro19HSpmaKygyG3SwmHSqrXcl6pOOmqs7ALwe89/1jLGPGWObGGOXpOH6siF2ClZrcOX2BWE2aKHRZKb+ZDzRRqLUjoFkAeccPW5fRrqzx2qOFrX3ZfTrSKnL5QdjmWnGKqqgRqJEQSYUXDHGvg8gCOCpyE12AHWc87kA7gPwF8aYdZTPvZMxtpMxtrOrq2siy8iqCotJtQOG3f6gZMXsQMwInH51Pr9EXjz+ELyBMIoz1ONKVF+SD6tJp+qi9i6nD8VmA3RpHn0TSxiBQ68NRBlS/klgjN0G4FoAX+KRzm6ccx/nvCfy910AjgOYFu/zOeePcs4XcM4XlJWVpbqMrKuwmVSbmnb5QpIVswNAhU34JddGmSuSBZnucSXSaBiaagvxsYqL2rtdvowVs4uELu3qfO0l6pNScMUYuwrAdwGs4px7Ym4vY4xpI38/D8BUAJ+mY6FyIWau1Ngp2O0LSlbMDgBGnRalBeoeMUTkQ5wrmOltQUCouzrS4VTtYY1MNhAVCRMyvAir+GAAUY9EWjE8DWA7gOmMsVbG2FoAvwZgAfDWiJYLlwJoYYztBfAcgLs4571xL6xQlTYjPP5QtPhbTVy+oGTF7KLqQhN1aSdZ0RM54Zbp04KAEFyFObD/rCPjX0sKWclcWYwIhDj6PP6Mfh1C0mHc36Sc81vj3Pz4KI99HsDzE12UnMX2W7GY9BKvJr3cvmC03YRUqmwmfNrllnQNJDeImatMZ1wAIbgChE7ti84ryfjXyybOObpdvoy1YRANvfb6MtqbjJB0oA7tSYr9AVcbYVtQ2sxVlS2PWjGQrOiJDG3ORuaqpMCI2uI8VRa1u3xBeAPhjAep5eJrL/W6IgqQG8EV58CmTcCpU0BoYkOXh7q0q+8H3OULySC4MsHlC8LpDUi6DqJ+vW4fTPrMzRUcqbm2SJXBVXckSM18QXukkagKX3uJ+kj7mzRb+vqApUuFv+t0QF0dUF9/7p/GRsBsHvNSFSruFOz2BVEgYUE7AFQVDjUSVdu2K5GXHrcfJfnGjM0VHKm5thCv7m1Dx4A3+iZNDTI9V1BUblHvrsFEuX1BvLC7FTdfWAeDLjdyJnKXG8FVfj7w1lvAiRPD/7zyCtDZOfS4K68E3nhjzEuJnYLV9u4pFOYYDEifuaqONBJt6x/EtAqLpGsh6tbjyvzom1hi3dXHp/tx1ezKrH3dTMv0XEGRQadBSb5BlW9sJ+q1Fjt+8PIBDHiDuOfyC6ReDkGuBFdGI3DFFfHvc7uBkyeBn/4U+NvfAI9n3OxVpdWkundPbr+0o29EsZkrQjJJGNqcveBqVrUVei3DnjPqCq6ylbkChLqrTmokeo6Ws8J286/eOYpVTdWoLR77dxjJPMof5ucDs2YBX/oS4PcD27aN+ykVVpPq3j0NDW2WNrgqtxjBGGDvp0aiJLOyMbQ5lkmvxcwqq+rG4HS7fNBkePSNSBg/pq43tumwr9WBaRUF0GoYHnzlgCr7MCoNBVeiJUuEeqx33hn3oRVWk+q2BYeCK2lrrvRaDcotRspckYwS2wdko4ForKaaQuxrdSCkokaY3S4fivON0GZhJmmFheYLjhQIhXGo3Yml08tx7xXT8M7hTrx1sEPqZeU8Cq5EBQXAokXAu++O+9AKqxGdTp+qOgW7fMIpSinH34ioHQPJNI8/BF8wnPV+Sc21hXD7QzjW6crq180koTt7doLUCqsR3S4fgqFwVr6eEhzpcMIfDGP2JBvWLJ6C6RUWPPTqQXj86mt0rSQUXMVatgzYuRNwjN1FucJqQjDMo00I1UAu24KA2KWdtgVJ5mSzx1Ws5jqxmah6tga7XP6MF7OLyq0mhPlQ+wcy1PV/ziQb9FoN/v2G2TjbP4hfvXNM4pXlNgquYi1fDoTDwObNYz4stku7WojjfGSTuepX5/xGIg89brEIO7vBVX1JPow6jaoyV91OH8qylAGsVOFr70TtO+uAxajD5EgR+4VTinHT/Br84f1PcbTDKfHqchcFV7Euuggwmcatu4r2ulLRD7icMldVNhMGAyE4BqmRKMmMXreYucrutqBGw1BhNaFdJUXZnHN0ZWGuoEiNb2wnat/ZAcyaZIUmpubte1fPQL5Rhwde2k9vUiVCwVUso1EobB+n7qrSpr5mdnIpaAeEzBVA7RhI5ojbgtkuaAeE1w+1HIhx+oLwBzM/+kY01MRZPa+9ExEIhXHIPoA5k2zDbi8pMOJ7V8/AjhO9ePHjsxKtLrdRcDXSsmXAvn3Dm4uOUFogtAtoV9G7J1kVtBcKwaud6q5Ihoj1ktnscyWqtJpU89oR7XFlyc7zWFJghIaBel1FHO1wRYvZR7p5QS2aawvxkw2H4PDQLkC2UXA10vLlwsf33hv1IXqtBqUFRlX9gLt9QWgYkKeXPnNVHclctfWr5/kl8jI0VzD7byYqbUJwpYbtmu5IcFVWkJ1xPloNQ5nFqMrZrqnYF2keOjJzBQhb0P/+udnodfvxszcPZ3tpOY+Cq5HmzQOs1nG3BiusRtW8+wSEgvZ8gy5rc9bGUmYReuZQ5opkSo9LmCsohUqrCf5gGH0qyCZ0ubKbuQLEJs60LQgMFbNPKcmPe//sSTbcdvEUPLXjNPaqcGi4nFFwNZJOB1x22bhF7WobgeP2BWVRzA4I705LCwzRLQdC0q0ny6NvYok1m2rIvgxlrrIXqJZbaASOKF4x+0j3rZiGsgIjHnhpv6qa18odBVfxLFsGHDsGnD496kPKrerqFOz2B2VRzC4qLTBSLxuSMT1uX9Z7XInUdOKty+WDVsNQZM7ec1lpM6riuZuo0YrZR7KY9Hjg2gbsO+vAH7eeyNLqCAVX8SxbJnzcuHHUh1RaTeh1++ELhrK0qMxy+UKyKGYXCcEVZa5IZvRKuS1oEw9sKD9A6Hb6UZJvGDNzkm4VFhP6PAHVvPamaqxi9pGua6zCFTMr8J9vHKbtwSyh4Cqe2bOBsrIx667EI8GdKtkalNO2IBAJrmhbkGQA51zSbUFxOLkaaja7Xb6stWEQiZk/tbz2piq2M/t4GGP4+U2NKLeYcM9fdlMPwSyg4CoejQa4/HKh7mqUEz3RH3Cn8l8gARkGVxYDul1+VZyoIvLijswVlGpbUDxtrIZeV10uH0qz1EBUVK7CJs6p2HfWgYIxitlHKjQb8L9fnIt2hxf/77m99NqaYRRcjWbZMuDsWeDo0bh3D9VNqOPdk8sXlNW2YFmBEf5QGANeGj5K0qtXwgaiIrX0usrm6BuR2l57U7XvrAOzqscuZh9pXl0Rvnf1DPzjQAfWbzuZucURCq5GJdZdjbI1KM64UsOJHwDw+EOyK2gHQHVXJO3EuYJSbQsCkV5XCn/t4Jyj2+XPahsGQF0HAlIVCIVxMIFi9njWLqnHFTPL8ZMNh6j+KoMouBrNBRcANTWjBleFZj0MOg06VLIt6JLbtqAYXFHdFUmzodE30hS0A+rIXA0MBuEPhbOeuSoy62HQque1NxViMfucmuSDK6H+qonqrzKMgqvRMCZ0a3/3XSAcjnM3Q4VVHXUTgVAY/mAYBRJ0qx6N+G6Y2jGQdBsa2ixt5soxGMCgX7kn3rpcwmtftoY2ixhjKLcac7qgPZli9nio/irz5PPbVI6WLQP+9Cdh1mBT0zl3V1jU0Uh0aGizfL4daFtQ8MGnPXj4tUPIN2pRnG9AodmAYrMBhWY9iswGFOcLf84ry4fFpJd6uYrQLYNtQXFrq33Ai/rSxAqS5abLKQSp2c5cAZEu7QrP/E1EssXs8Yj1V//+2iGs33YSty+uT+MKiXx+m8rR5ZcLH999N35wZTPhUNtAlheVfq5IcCWngvYiswEaRsHVI28dwZk+D6aVW3Ckw4V+jx99nkDcTsuTS8yYVW1FQ5UVs6ptmFVtRbk1OzPflKTX5UeeXivJXEFRVUyXdqUGV93R0TdSBFdGHG53Zv3rykUqxezxrF1Sjw8+7cFPNhzCvLoiNNUWpmmFRD6/TeWothaYOlUIru6995y7KywmvDfQKcHC0svtE7Ym5JS50moYivNzu5HogTYHdpzoxb9ePQNfv+z86O3hMIfTG0Sfx48+jx9dTh+OdDhx0D6AA20D2LCvPfrY0gIjGqqtWHPxZCybUSHFP0N2et1+SbcEAXUUZYvjqbLd5woQRuBsPtKd9a8rB8FIZ/avXDR5wtcS66+u+dUW3POX3Xjt/7sEtjzKgKeDfH6bytXy5cBTTwHBoDB3MEaF1Qi3PwSnN6DoLRlXdFtQPqcFAUTmC+ZuzdX6rSeRp9filgvrht2u0TDYzHrYzHpMgZD1WDmrMnr/gDeAw3YnDrQ5cKBtAG8f6sBvNwYpuIrodvtRKuGWIBAzX1DBwVW3ywedhqFQgl/GFVYTXL6g7FrIZMPRThd8KRazxyPWX31h3XY89MoB/M/NzWm5bq6jgvbxLFsGOJ3Azp3n3CW+QCq97sotw21BQCiUzdXMVY/Lh5f3tmH1vEmwmZP75WU16bGwvhi3L67Hz29qwoqZFTjV68nQSpWnV8K5gqICow4FRp2i2zF0OX0oKcju6BvR0IQM5T5/qdoXKWZPZOxNoubVFWFVUzW2Hs/NbGAmUHA1nqVLhY9xWjKUW5Sf2gfkWdAOCNsNXTnaiuEvO07DHwzj9sVTJnytKaX56HL64PFTQ1ZAaMVQLGEbBpHSe111u3xZPykoqszhRqL7WoVi9voJFLPHM6U0Hx0DPngDyj3BKicUXI2nrAxobIwbXA1lrpT7AgnIs6AdELYFu12+nDsm7A+G8eQHp3DptDJcUG6Z8PXqis0AgFM9lL0S5wpKvS0IKL/XVZcEcwVF5SobP5aMdBWzj1RbnAcAaO0bTOt1c9W4wRVj7AnGWCdjbH/MbcWMsbcYY0cjH4ti7vtXxtgxxtgnjLErM7XwrFq2DNi6FfAO/0EWU9NKfoEE5J258gXD0eAvV2zYZ0en05eWrBWA6HFtCq6EuYJ+CecKxqqwKjxz5fRL0oYBiHntVfDzlwqxmD3V/lZjEd+Enemj14l0SCRztR7AVSNu+x6AdzjnUwG8E/lvMMYaANwCYFbkc37LGJNXlXQqli8XAqvt24fdbDboYDHpFN/Mzu0XTwvK63/VUK+r3Clq55zjj1tP4LzSfFw2tSwt16wrETNX7rRcT8l6IjV8cgiuqmwmdLl8cdtqyF04zNHjzv7QZlGBUQezQZtz24LpLmaPVVsUCa6oPjMtxg2uOOebAfSOuPl6AH+K/P1PAD4Xc/tfOec+zvkJAMcALEzTWqVz6aWAVht3a1Dp7z4BYVtQr2Uw6mQWXFlyr5Ho7tP92NvqwJrFU9KW9rfl6VFk1lNRO4CeSHd2qbazYlXYTAiFuSK/vx2DAQRCXLLnUZiQYcq5ETiZKGYXlVmMMOo0FFylSao1VxWcczsARD6WR26fBOBMzONaI7edgzF2J2NsJ2NsZ1dXV4rLyBKrFViwIH7dlQp+wN0ymysoEuticmm+4B+3noDFpMON82rSet26knzKXEFoIArII3Ol5OHvYpBaIuHzWG4x5txpwf1nM1PMDggBa22xGWd6qeYqHdJd0B7vrXbcnDfn/FHO+QLO+YKysvRsf2TUsmXAhx8CLtewm9Uw48rlCyJfRnMFRWU5NgLH7hjE6/vbcfOC2rQHu1NKzFRzBaBHBqNvRGJwZVdgcNXvEYKrwiTbhKRTpU0d48eSse+sAw0ZKGYX1Rbl4TRlrtIi1eCqgzFWBQCRj2Kb8lYAtTGPqwHQlvryZGTJEqGR6K5dw26ujMy4CiuwbkLklmkjvuJ8AxgDunKk5urJ7afAOcdtF09J+7UnF5vR1j8If/DcIeS5ZCjjIv22oJJPG/d5AgCEMVVSEecL5spp4kwWs4uEzJUnZ57TTEo1uHoFwG2Rv98G4OWY229hjBkZY/UApgL4cGJLlIkLLxQ+fjj8n1NhNSEY5uj1KDcAcPtCsitmBwCdVoMisyEnMleD/hD+8uFprGioQG3k1E46TS7JR5gDrTl+EqgnMlcwzyD993tJvgF6LVPkaeO+yOudlMFVuUU4TewYDEi2hmw61uWCNxDOaHBVV2yG0xfMmec0kxJpxfA0gO0ApjPGWhljawH8FMAKxthRACsi/w3O+QEAfwNwEMAbAO7hnKujI1lZGXDeecCOHcNurlBw3YTIJdOaKyDS6yoHaq5e2nMW/Z5AxibTTy6hXleAMFdQDluCgDDGqNyizAMx0W3BfOm2BStyrJFoS6tQzJ6Jk4KimuiJQaq7mqhxf6Nyzm8d5a7lozz+YQAPT2RRsrVwIbBly7CbomMYnF4AmfumzyS3Lxit/5Cb0gL1j8AR2y/MrLJiUX1xRr4GtWMQ9Lj9khZhj6TULu19ngB0GgaLhG/KYodfT6+ceLNductkMbsottdVJoO4XEAd2pOxaBHQ2gq0DZWRRQewOpQbAMj1tCAgBlfK3XJNxLbjPTjS4cLti6eAscwUqpYVGGE2aHEyxzNXPS7p5wrGEms2labf40ehWZ+x79dEiG9slfj8pSLTxezAUJd2KmqfOAqukrEw0rIrpu6qtMAIxpT9Ay5Mlpe+BiWeXMhc/XHrCZTkG7CqqTpjX4Mxhrpic86/aArbgtIXs4sqIiNwlFZA3OcOoFDCeitgKHPVmQNlA9koZgcAi0mPQrOeel2lAQVXyZg7F9DphgVXeq0GpQVGxQZXnHO4/SH5Zq4sBnj8IdUOHT7Z7cY7hzvxxUV1MOkzG+BOKcnHyRzeFhTnCsprW9AIjz+EAa+yvr/7PH4USdiGAQBMei1seXrFvvYmIxvF7KK6YjPO0HzBCaPgKhl5eUBTU5yiduUGV75gGKEwl29wJfa6cqpza/DP209Bp2H48kWTM/61JpeY0do7qMhxK+ng8gXhD4ZlU9AOAJU2YRtGaa8f/R7pM1eAsK3a1q/+QGBfa+Y6s49UW2SmzFUaUHCVrIULgY8+AsJD/YKE6fbKTE2LQ5Hl2OcKGGok2qXSrcEPT/ZgUX1JdIsjkyaX5MMfCsPuUP8vo3h63WJ3dvlsCyq1S7scMlcAcqaj+P6zDuQbtDivNHPF7KKa4jyc7cvdN2HpQsFVshYtApxO4PDh6E3lVpNixzC4I8GV7DNXKg2u2h1e1BTlZeVrie0YTudoUbt4MEJW24IKDK445+j3BCTtcSUS6wiVVrOWrIP2Acysymwxu6iu2Ax/KKy4bKrcUHCVLLGoPWZrsNJqQo/bD19QeS29hjJXMi1ot0TmC6owuPIFQ+h2+VFly25wlasnBocyV9IHBaLyyIk3JTUS9fhD8IfCstgWrC3Ow2AgFO28r0accxy2OzGzypqVr1cb7XWVm68T6ULBVbKmTxcGOccUtYtHgrsUeGrF7RMCQrlmrsQxJWqsuRKzFVWF2ekxVmXLg17LcKo3N4va+2QYXJn0WhTnGxQVXA11Z5d+W1Dsy6TmU7Bn+wfh9AUxoyo7vbxqo72u1L/dmkkUXCVLoxFG4cRkrsqtyp0RJvdtQYNOA1ueXpWZK3Fgb3WWMldajTD1/lS3en8RjSU6V1BGBe1AZEaegrYF+yNzBeWQuYo2vVRxcHXI7gQAzKjMTuZqUmEeGFN3wJoNFFylYtEioKUFGBQi+0oFj2GQe0E7EBmBo8rgKvL9Y8ted/zJxWacytEXzV63Dya9BmaDvL7XK63GaKCtBHLKXInjWtRcR3jYPgAAmJGlLvQGnQZVVhNac/R1Il0ouErFokVAKATs3g1g+BgGpclI5urUKeCVV4TnKA3U2ki0rT+SucrStiAgnBg83eNWfQFwPL3uAIplkG0ZqdKWp6jXjr5I5qpIBtureQYtyi1GVWdZDrUPYHKJOau7C7XFZpzJ8SHvE0XBVSpGdGovMuth0GoUVTchimau0vVunnPg1luB668HZs8GnnlmWNuKVJRa1DkCx+4YhC1Pn9VMyuQSM9z+kCqfz/H0un0oltmWIKC8AzHRoc0yyFwBUP3kgcN2J2ZmaUtQVKvy5zQbKLhKRWUlUFcXrbtijKHcakSnArcFhwra03Ra8M03ge3bgbVrAa0WuOUWoLEReP75lIOssgIjuhV4WGA87Q4vqrK4JQgIXdoB4HQOFrX3uv2y6nElqrRFhr8r5PWjzx2pucqTR6BaV6zeppeD/hBO9LizVswuqi0yo2PAB29AGQG/HFFwlaqFC4edGKy0KnO6vdsfhFGngU6bhm8FzoEf/UgIPH/7W6Eu7emngWAQ+PzngXnzgJdfFh6XhNICA5y+oOp+0Nv6sx9c1YntGHKwqL3H7UexTLItscSyAqVkvvs8fhQYdTDo5PHro7bYDPuAVzGZv2R80uEE59krZhfVlQiHbFrpxGDK5PHToUSLFgEnTgBdXQAiJ36cynhxjCUMbU7TttQbbwjZvO9/HzAYhJOVt9wCHDgAPPkk4HYDn/uccNryjTcSvqxaG4naHYOoKszOSUFRTVEeNAw5WdTeJ9PMldjnTClvzvo9ftlsCQJC5orzoRpGNRGL2Ruy1ONKFO11RXVXKaPgKlUjmokq7Ti1yOMLpqdQUsxaTZ4MrFkz/D6tFvjyl4FDh4AnngB6eoCrrwbeey+hSw8FV+qpExr0h9DnCaA6y5kro06LKlseTuXYAGdvIAS3PyS7NgxA7GljZbx+9MmkO7uoVsW9rg7ZB5Bv0GZtioNIfE7pxGDqKLhK1fz5QtAQ2RqssBrh9oeiBeJK4fKF0hNcbdggzFx84AEhaxWPTgfcfjtw8CBQVAT8/vcJXbrUIjYSVU/mStwCylZ39lhTSs04peKj6/GI3dnlFBSIrHk6mPQaxbRjkGPmClBpcNXuxPRKS1bG3sQqKzDCqNOo8jnNFgquUpWfL5yGi2SuxF5FSknti9y+4MRH34hZq/p64Lbbxn98Xh7wpS8BL74I9PaO+/Ayi/q2Be39Qi1DtmuuAKCuOD/nMldyHH0jYoyhypanoJoreWWuyi1GGHQa1RW1C2NvBrI29iaWRsNQU5SXE0OxM4WCq4kQi9o5R7lF+CWptAHObn8atgVffRXYtQv4wQ8AfYLvaNeuBXw+4Kmnxn2oOGhXTcFVW3T0jQSZqxIz+jwBOAYDWf/aUumVaXd2UYXVqJiygj6PXxYNREUaDUNtUZ7qGom2ObwY8AYxQ4LgCqBeVxNFwdVELFoE9PcDR49GM1dK+2Z0TbTminPgwQeB888HvvKVxD+vuVk4Pfj44+OeHjTptbCYdKqquZIycyUOcFbbL6OxyDlzBQh1V0rYFgyGwnB6g7IYfRNLjb2uhorZs9uGQaTG5zSbKLiaiJhmopOLzaiymfCPAx3SrilJbl9wYg1EX34Z+PhjIWulS/I6a9cCe/cKnz+OsgIjulSUubIPeFGcb4BJn6b+YkmYHOl1lUsDnKPBlcyCAlGFzYROpxfhsLw75/dHsp1yylwBQ72u1DR54HC7MFNwWoU0wVVtkRlObxAOT+5kuNOJgquJaGgQaq927IBGw3B98yRsOtKlqO0r90QK2sNhIWs1dapQQ5WsW28FjEYhezWOUpU1ErX3D0ZPiWWbWACcS0XtvW4/tBoGW568ggJRldWEQIij1yPv7KzYnV0Oo29i1Rab4fQFVbXVfdA+gNriPFhM0nzPqvkUZjZQcDURWi2wYEG0qH31vEkIhTle3dsm8cISwzmH2z+BgvaXXhIyTz/8YfJZK0A4MXjjjULd1eDYhZOlFnUNb7Y7vFmdKRgr36hDmcWYU0XtPW6hTijbp64SpZQDMeJcQTluCwLqCgQO2weyPvYmVm2xUA+qtFIXuaDgaqIWLQL27AF8PkyrsGBWtRUvfnxW6lUlvZii1wAAIABJREFUxOMPgfMUhzaLWavp04UMVKrWrgUcDuCFF8Z8mDC8Wd7v6pNhd3glacMgmlxsxskcylz1uf2yOuE2UrRLu9yDq2hLC3llAMXJA2oJrryBEE50uyUrZgeGMldqO4WZLRRcTdTChUAgIARYAG6YOwktrQ4c63RJvLDxuSM9uVIKrp5/Hti3T8haaSdQN7R0qdDCYZytwdICIxyDAfiDExsCLQcev7B9USVR5goQ6q5yraBdrsXsQEyXdpmfNu73iDVX8nouxY7iagmujnQ4EebSFbMDgNWkR6FZr5rnNNsouJqoRYuEj5FmoquaqqFhwEsKyF6JDU+THn8TDgMPPQTMnAncfPPEFqHRAHfcAWzcCHz66agPE7u097iVvzUojumQ4qSgaHKJGe0DXtXNaxxNj9sn2zYMgDA/U8Pk36W9L1JzJacmooDwBrEk36CaLMthu1DMnu2ZgiPVFplxhuYLpoSCq4mqqQGqq6N1V+VWE5ZMLcOLH5+V/ckft0/4xZp05urZZ4V5gRPNWonWrAEYA/74x1EfUhr5xdjtVP7WoN0htmGQcFtQZdso4+mV+bagTqtBmcUo+3YMfZ4AdBqWvnmkaVSrotYBB+0DMBu00VoyqdQW59EInBRRcJUOYjPRiNVzJ+Fs/yA+Ojl+93EpuaLbgkkGSD/5iXBS8qab0rOQmhrgyiuB9euBUPxMSqmKurSLv0CrJQ2uhHYMJ7vVX9QeCnP0DwaizWjlqtJqkn3mShh9YwBj8jsYoKa+TIfbByQZezNSbbEZrX2Dsk8UyBEFV+mwaBFw9Gh0lMvKWRUwG7R4aY+8twbdqWwLtrcDLS1CtikdWSvR2rVAayvw5ptx7y6LbAt2qaAdgz2yLVhhM0q2hskqPF01mn6PH5zLt4GoqNJmkn9Bu8y6s8eqKzajrd+LYEjZdZmccxyyOyXfEgSEbUF/KIwOp7y/L+WIgqt0iGkmCgBmgw5XzarE31vssq5pcftTKGjfulX4eMkl6V3MqlVAaemohe1izZUaGonaHYMoLTDAqMt+A1FRoVkPq0mHkznQjiE6tFnuwZXVJPuCdrnNFYxVV2xGKMxlv7U6nvYBLxyDAcyUsJhdNHRikOqukpVycMUYm84Y2xPzZ4Ax9s+MsQcZY2djbv9sOhcsSwsWCDVDMVuDN8ybBKc3iHcPd0q4sLGlVNC+dStgMgmja9LJYBDG57zyCtDVdc7deQYt8g1aVWwLtknchgEQhgVPLsnPiUai0bmC+dJlChNRYTPB6Q1GM8py5PAEZFfMLlJL00uxmF2Kgc0jqbF/WLakHFxxzj/hnDdzzpsBzAfgAfBi5O5HxPs45xvSsVBZs1qFk3ORonYAuPj8UpRbjHhht3y3BlNqxbBli5CpM2Tg3esddwhtLf7v/+LeXWpRR6+rdsegpCcFRZNLzDkVXMl9W1D8npBz9krYFpTn86iWXlcHIzMFp1dKn7mqLjSBMep1lYp0bQsuB3Ccc34qTddTnkWLhMxVZLaVVsNwfXM13vukM/riLjeuyGlBc6Lz7dxuYPduYMmSzCxo9mwhcBtlmLNaRuDY+72oLpQ2cwUIwdXZ/kEEFF6jMp4ehQRXYiPRDplua3HO0e8JoDBfnpmrSqsJei1TfHB1uN2JmqI8WCUaexPLqNOiymqi4CoF6QqubgHwdMx/f5Mx1sIYe4IxVpSmryFvixYB3d3AiRPRm26YW4NgmOO1FnmOw3H7gjAbtImfSPnwQ+E03+LFmVvU2rVCm4eYLVZRaYHyR+A4vQE4fcHouBMpTS7JRyjMcVblfWyiXcVlGhSIxFmTcq0Z8vhD8IfCss1caTUMkwrzFB9cHbIPyKKYXVRTbKYROCmYcHDFGDMAWAXg2chNvwNwPoBmAHYA/z3K593JGNvJGNvZFafGRnHEovaYrcGGaitmVFrwgkwbirp9weS3BBkDPvOZzC3qllsAszluYbswAkfZwZV4GkwW24LiAGeF/zIaT4/bD4tRJ+kBgkRUynxbUGwgKtfTgoBQd6XkLIs3EMKnXS5ZFLOLaovMVNCegnRkrq4GsJtz3gEAnPMOznmIcx4G8BiAhfE+iXP+KOd8Aed8QVlZWRqWIbHZswGjEdi1a9jNN8ydhI9P9+OEDPsJuXzB5IrZt2wR/p1FGUxGWq1C/6y//lXYhoxRWmBEnyeg6G2sNrHHVbq2BVtbgX/+Z2EUUZKmlAq9rtQ+wLnX7UexjLuzi8wGHawmnWx7XfXLdGhzLKX3ujrW6UKYy6OYXVRXnFvTHNIlHcHVrYjZEmSMVcXcdwOA/Wn4GvKn1wNNTecEV6uaq8FkOg5HyFwl+G4+FAK2b8/slqBo7VrA6QSee27YzWIjUbnWsCXC3i92Z59g5opz4MknhWD3l78Eli0D9if3o1ZuMcKk16i+qF3ORdgjybnX1VDmSr7PZV2xGf2eAAa8AamXkhKxmH2GDIrZRbXFwhvBs/2UvUrGhIIrxpgZwAoAL8Tc/F+MsX2MsRYAlwO4dyJfQ1HmzxeCq/BQZqXKloeLzy/BS3vOgscp0paS2xdCviHBzNW+fULAk6li9lhLlgCTJwMvvTTs5rJI9kHJjUTbHF4wNlS8nJLOTuDGG4F/+ichuHrzTeH05vLlwKFDCV+GMYbJxepvx9Dj8su+O7uoQsa9rvqiQ5vluy1YF+3LpMzv6cN2J0x6TXSCghzUKvw5lcqEgivOuYdzXsI5d8Tc9hXO+RzOeSPnfBXn3D7xZSrEggVCAHLs2LCbb5hbg1M9Huw+3SfRwuJLaltwyxbhYzaCK8aAlSuBd98FgkM9f8RGokquu2p3DKKswAi9NsUfvRdfFAKq114DfvYzYNMmYMUKYfC1RiNksD75JOHL1ZWYc2NbUCHBVZWMM1f90aHN8n0ulR4IHLIPYHqlFVqJx97EUnrAKhXq0J5O8+cLH0dsDV41uxImvUZ2Pa/c/iQK2rduBSZNAurqMrso0cqVwMDAsFODQ8GVgrcFHV5UpVJv1d8vZKpWrwZqa4WWGPffPzSCaNo0IRgNh4UAa0SAP5opJUKNilpnh3HO0etRTnBVaTWhy+WTZV1hn1usuZJx5krBva445zjcPoCZMtoSBITRYwadBmdUfqo43Si4SqeGBqGofefOYTcXGHVY2SCMw/EH5fOimdRpwS1bhKxVtga2LlsmfK2YWYNqGN7c1j+I6mTrrd56C5gzB/jLX4Af/Qj44ANg1qxzHzdzJvDOO4DfD1x+OfDpp+Neuq4kH76gemeHuf0h+INhxQRXFTYTOJfn1nefRzh1mXLWNQusJj0KzXpFBledTh/6PAFZFbMDgEbDUFOUh9MqLx9IN/n+lCiRXg80N5+TuQKEcTiOwQA2fiKfcTjCtmACBe2nTwun0rKxJSgqLgYuvFAILCLyDVqY9BrFNhLlXJh7llSPq2eeEbJ4FosQVD34oPB9NprZs4G33wY8HiHAOjV2X98pkXf6aq276nUpo4GoSOx1Jce6q36PX7YNRGPVFplxWoGtA+RYzC6qo15XSaPgKt3mzxe2bMLDM1SXXFCK0gID/t4ijxK0YCgMbyCcWOYqm/VWsVasEPqGOYSSPsaYontdDXiD8PhDqE50riDnwMMPC1mrXbuEmr5ENDUJQenAgBBgnTkz6kMnF4/fjiEc5jjS4ZTdgYxE9LiF7xXFBFc2+XZpl/PQ5lh1Cu11Jc4UlFMDUZHQ60p5z6mUKLhKt/nzhaL2o0eH3azTatBUU4ijHU6JFjac2y/0LEmooH3LFiFzMmdOhlc1wsqVQguIjRujNwnBlTJrruyOSBuGwgQzV++8I5zSvO8+IC/JOq1584Qt1Z4eYYv1bPx6v+pCE3QaFjdz5fYF8eftJ7H8fzZh5SOb8Y8DHcmtQQbE9gGKCa7knrlSQHBVW2zG2b5BhBRWR3jIPoBJhXmwybCmra7YjAFvEA6PMltcSIGCq3QTswtxtgYnlwjH3uWQAUhqaPPWrUJXdm2WO1xfdBFQUDC87krBmSt7v9idPcFA6ZFHgPJy4NZbU/uCF14I/OMfQEcHcNttcR+i02pQU5Q3LLg62z+In2w4hIv+4x388OUDsObpodMw7Dvbn9o6JNQTCcRL8o0SryQxxfkGGLQaWZ4YFDJX8vvFP1JdsRn+UFi2zVhHc7h9QJZbgsBQryvaGkwcBVfp1tAAmEyjBFdmDAZCsihWTTi46u8XsifZ3hIEhN5NS5cOq7sqsyh3vqA9mdE3hw8DGzYAd98tHJJI1UUXAT/4gZAFa2mJ+5DJJfk42ePGrlO9uOep3bj0vzbi8S0ncNm0Mrxw98V4+Z7FmFKaj0/aXamvQyK9CpkrKGKModxqlGXmSinNWMXWAUoqavcFQzje5cYMGY29iVVTRO0YkkXBVbrpdHE7tQNCcAXIY5abKxJcjVvQvn27UPuTjc7s8axcKbQViJx8Ky0wotftV1zKHxC2BTVM6Iw+rl/9SgiqvvGNiX/hr35VmNf4y1/GvXtyiRkH2gZw4++24/2jXfjqJfXY/P8ux6+/OA/z6oRRR9MrLDjaKY8t7WT0evwwaDXJjXmSmBx7XQVDYTi9QVm3YRApMbg62uFCKMxld1JQpOQWF1Kh4CoTRilqF7vunpTBnEG3T6i5GrdD+9atwnbgokVZWFUcK1YIHyPZq9ICI8JcmSNw2vq9qLCaoBvvKHtvL/CnP/3/7Z13eJRV9sc/d2bSe4eEJLSEbqgiVamCooiuKCrY3bWs2Fbdn23XXXddFV111V277iqKDUERQWx0AQm9hAAJCQlJIL1NMvP+/rgzIYRJMklmMiX38zx5ksy8M3O5TOY97znf8z1w7bWyLNhRIiLghhvggw+ku3sTpg6IY3hSOH+5bDCb/m8Kf5w5gIQmXlwpccFkn6qi2uhZ88VOVUiPK9FZFiIOoFd0EAdOlLuV91hJtdWd3f0zV93D/dHrhEdlWfbnu6+YHaTFRViAjyoLtgEVXDkDq1N7E1F7QngAep1wi+i/0mhnWXDdOimODnLROIZ+/aRpZqPgCjzT6yqvtNq+kuDrr0srhXvucdyL33031NbCf/5z1l0TU2P4/I5xzD8vmcBmgu1+cSFomhws60l4kju7ldG9oiipqms44boDp93Z3T9z5aPXER/u7xafs/ayP68MP4OOXtHuM/amKYmRAR5pceEqVHDlDJpxavc1yD/6o27gKVTZUBZsIbgyGqUVgqtKgiCNRKdNk5ohk4loy3xBTwyu8ktrWhez19XBv/4l5wQ6sjuzXz+46CJ49VUZZLWRlDipBTngJt2u9uJJ7uxWxvSJAmDj4ZMuXslpTs8V9Iy9TIoM9Kjgal9+Gf26hbjV2JumJEUGkuNBe+pqVHDlDKyi9iZO7QA9o4LIdoNZbnYJ2rdvh5oa14jZGzN9uhTWb93qsS7tmqZx3J7M1SefSNuEe50w7/yeeyA/H5YsafNDe0YF4qvXuY2ViL14YuYqPjyA5KhANma6UXBlbQzwkODK03yZDuSXu22noJXEiEByiqvdqlztzqjgyhkYDM06tSdFBrpF5qqi1g6fK6t5qCszVyCzOJZROA1lwXLP0lyVVNVRU2duea6gpkn7hX79YOZMxy9i6lQZ+L/wgnytNmDQ6+gdE+R5mauKNgZXRUWQmSkvKlzImN5RbD5y0m0aN0qq3H+uYGMSIwMpqjBSZaxv/WAXU1FbT1GFkZ5uXBIEuadGk5k8N+xkdUdUcOUsRoyQmZ8movaeUUGUVtc1aBhcRWVtPToB/j4tvAXWrYM+faBbt85bmC2ioxtMMUP9DfjqdR6XuTpuMRBtca7ghg0y27lwIeic8KcphMxebd8Oa9e2+eH9uoWQccJzNFfGejPltfX2B1cbN0JyMvTtK01bo6Jk5+9FF8Gtt8rRQ2+8IW0ynMyYPlGU19Sz93iZ01/LHqxmrBEekgW0dgwe8wCNUK5lILLV7sBdGRQvxfY7j3me350rUMGVs2jGqT3JTWa5VViGNjfbRaVpslPQ1SVBK9Onw6ZNiPJyooN9KfSw4MraWt/iXMEXXpCdfQsWOG8h110ng4Z//rPND02NCyG3pJryGs9waW6TO/uePXDxxRAfD2+9BX/9K1x1lQy2TpyA5cvhySfhtttOdwM7kTG9rbqrIqe+jr0UV9XhoxcE+XaykXA78SQ7htwSucamHbruxqD4MHwNOrZlFbt6KR6BCq6chdWpvYnuqqfFjsHVXleVtfUtlwQzMqCw0H2Cq2nToL4efvyR6BDPG4Fz3BJcxTf3AXrkCHzxhTx5O7MzMyAAfvtbWLq0wTvMXlItovYMD+kYPO3O3kpwlZUFF14odZKrVsFNN8Ejj0jx/7Jlsryfny9LhXv3yuD00kshz3lzQmND/ekdE+Q2uivr6BtPsbTwqODKkrlKjHDv4MrXoOOchDB+zVbBlT2o4MpZDBggT2RNdFfWP/osF3tdVRrrWxazu4veysrYsdIIc/VqOQLHDVzu20JeSTUGnWjQjJ3Fyy/LUuBddzl/MXfcIb3L/vWvNj0sNS4YgINuZBHQEqfd2VsIrgoLZVa0slKOCurVq/ljfX3l3/Xy5bLBYvZsqHZe2WlM7yi2HC2m3mRu/WAnI93ZPUNvBVIbFuJn8AhRe05xNb56XfOfDW7EiOQIdueWUVPnWX53rkAFV86iGaf2AF89caF+Ls9cVdSaWg6u1q+XV+j9+3feolrCz0+Owlm1iuhgzxuBk18qDURttlqXlcGbb8KVV0KPHs5fTEICzJ0rX7PMfk1PYkQg/j46DnqI7upUVSuZq/JyqafKzpYBk73WF2lp0pB161a48cY2NwfYy5g+UVTU1rMrt9Qpz98WiqvqPGJosxUhBIkeYseQU1JNQkQAOje2YbAyLCkCo8nMnuOuf0+6Oyq4cibNObVHBpHlYjsGWRZsQT+xbp3MWrlTGWDaNDh4kN6VRZysNHpUS3CLNgzvvCNP9M6wX2iOhQvla777rt0P0ekEKbEhHPSQjsFTlgDcpuaqthbmzJHi/k8+aXv5e/Zs+Pvf4eOP4S9/ccBqz2Z0L/fxuyrxsMwVeI7XVU5xtdvrrawMTw4HULorO1DBlTMZORIqKuDgwTNuTo4KdLmgvbK2vvnRNwUFcs3uUhK0Mn06AIP3bsFk1hpGcngCeaU1tm0YTCY582/cOBg1qvMWdO65MGaMnGFosj/FnxrnQcFVpREhODvjYjJJYf+aNfD22zBrVvte4MEHZfPBE0+0yzusNWJC/EiJDXYL3VVxVZ3HeFxZSYqSXleakzKLjiLXg4Kr2BB/kiID+TVLdQy2hgqunEkzTu3JUYEUlNe61IOloiVB+4YN8ru7iNmtDBgA8fH02r4e8BwjUU3TyCutsW3DsGyZFLM7ctSNvdxzj/R0+vprux+SGhdMQXmty61E7OFUlZHwAJ8zS7GaBnfeCZ9+CosWdawzUwg5qmjcOLj+etiypeOLbsKYPlFsPVqMsd51uitN0xoE7Z5EYkQAtfVmCt1Yn1lTZ6KoopYebi5mb8yI5Ai2ZRe7fdDqalRw5UysovYmHYPWAc6uTFlX1rYgaF+3TmqcrMGhuyAETJ9O7Jb16MwmjxG1n6o0Yqw327ZhePVV2e5/2WWdv7DLL5dzG9tgy5BqcZH2BN2VTXf2J56Q8xUffhjuu6/jL+LnB59/DnFxslSYm9vx52zEmN5RVNeZ2JnjukxBpdFEnUnzuLJgogd0DOaWyIaIBA8KroYnhVNYXktOsft7iLkSFVw5k2ac2pMtXldHi1wZXLUgaF+3TpaN/Nywe2XaNHxKihl8ItNjvK7yLDYMZ80VPHUKfvgBrr1Wvlc6G4NBdif+8APs2GHXQ1I9aMbgyQojUUGN3sMrVkh91M03w9/+5rgXio2VgvjycmnRUOW4v+vRVr8rF5YGHT76pqpKatUuvRTOOUd2rTpwz6x4gh2DpxiINmZ4cgSAsmRoBRVcORsbTu3JkdbMlWtE7cZ6M0aT2bagvapKivDdTW9lZepUAMYfTfcYr6vjlqvT+PAmmauvv5b6H1dkrazccou0uHjxRbsOjw/zJ9jP4BEzBourjEQEWbItmgaPPQa9e8Nrrzm+UWPIEFi8WP6tL1hwVhNLe4kM8qV/txCXitodMvrGZILVq2X5NC4Orr5aXnT6+cHvfw89e8qAt8RxGbqEiACEcO/gypr98aTMVb+4EIJ89UrU3goquHI2I0acJWoPC/QhPNDHZaL2Foc2b9sGdXXuG1zFxqING8b5R7d7jOaq2czV0qXSFsGV5dfISHnC++ADmUlrBSEEqXHBHPAArytZFrRkrpYtkxcNjz0GPk4qb82aBc88A599JgMtBzGmTxTbsoqprXeNt1C7R99omvw8ufdeaTEyfbp8z8+dK5sJsrOlTu3nn2XzzyOPQFKSLNnm53d43X4GPd1D/d06uMotqUKvE8SFuGGVoBkMeh1pieEquGoFFVw5m2ac2pOjglwWXFW0FFxZ19mZnWttREybxvDcfZQVesYfd15pDT56cabfUnU1rFwpdTrOmCPYFm65BYxGuzverB2D7ixoNZs1iqvq5J6bzVJr1bev7BJ0JvfdB8OGyUDBQcOfx/SOorbezPZs1+iuGoKrtmSuqqtlMDVypNQVjhkjmwhOnJDjhSZPlka2ABMmyJLt9u3Sd+zZZ2Um6447ZLNHB0iMDHRrI9GcYmnRYtB71ql4RHIE+/LKGi7UFWfjWf+jnkj//jad2pMjA8lyUVmw0tKlaLNbcNs2mU2Ji+vkVbWB6dPxMdUTvW2jq1diF3ml1XQL8z/TJHD1almCdWVJ0MqwYTBwIPz3v3YdnhoXQnFVnVuXZctq6jCZNZltWbpUasoee8z52jadTgYHWVltdsBvjtG9ohDCdbqr02VBOzNXJhNcc43MTj37rMxCff45XHGFHDHUHEOHwkcfwYEDsrT61luQkgLvvdfutbu715Un2TA0ZnhyBGYNdriw0cLdUcGVs2lG1N4zKpDc4mqXtFhbrzYCbQ1h3bbN/boEmzJuHEYfP/qke0hwVVJjuyQYFgbnn++aRTVGCJg/X1pwZGa2enjDjEE31l2dtIiwowIM8Kc/QWqqPOF3BlOmwIwZ8NRTdpVaWyMs0IdB8aEu011ZM1fhAXZkrqxWF0uXyi7UBx6Qw8jbQt++0uLi8GE5leHmm2VZtx30jgnmRJn7WofkllR7lJjdyvBEi6hdlQabRQVXnYHVqb2RWWNSVBBm7XQrbmdSUSvXcVbmqrxcXjW6e3Dl70/W4JEM2r3ZI2ZcHS+tPtPjqr5eniwuvljOq3MHrr1WBll2ZK9Su8kZg+7cMWidK5i6fjXs2gWPP965HZnPPCNHCz31lEOebkzvKNKzS1zyfi+pqiPE32Bf6eqvf5VWFw89BHff3bEXTkiQQdrw4XDVVVKb1UbSEsMA2JHjfuNajPVm8stqPErMbiUs0Ie+scFKd9UCKrjqDEaOlINhG4nae1rtGFwwBqdZQXt6urzydPfgCtBNn0afk8f4Zd0uVy+lRcxmjRNlNXRrnLnasAFOnpTjV9yFxESYNAn+979WZ+XFBPsRHujj1k7tpyqNCM1M71efk6X5q6/u3AUMGQI33CBLgx3UDYEUtRtNZpeczOTQZjsuAt58UwaxCxbI0UCOIDhY6rF69oRLLrHbMsTKkIQwhIB0F+nVWiK/tAZNo+MGorW1stt35EgYPVpmTmfPlpna226TOsDHHpMB/759jlk8MCIpgl+zSzxqDFlnooKrzsCGU3uSJbjKdoGo3SpoPytzZV2fBwRXSXMvBSDn0+UuXknLFFXWUmfSzrRhWLpUtqBfeKHrFmaL+fNlWXBjy+VW2TEY4tZGoqcqjVy8fx3+B/bJE76+hTmazuLJJ+XrPvJIh59qVM9I9DrhEt2VHH3TSklw+XL47W/le/rNNx1rdREdDd9+C6Gh8vntKF1bCfH3ISU22C21QTnF8rO/R3s1V/X1ci5paqqctmAwyBJsbe3pTsyvvpL/H089JbOJQ4ZIb7uiog6vf0RyBKXVdRwucu2cXHelQ8GVEOKoEGKXECJdCLHVclukEGK1ECLD8r2NBXcvxCpqb9QxGBPsR6Cv3r0yV9u2QXw8dOvW6WtqKz5D0ygPjSBk3U/UmVw3GqQ18kqa2DBoGnzxhfTrCglx4cpscMUV8n1qT2kwLpiD+e7bMVhcVs3C9YsxDxgoW/9dQUKCzBosXnxWt3BbCfH3YXBCmEt0V62Ovtm4UZbthg+XHYHOsLpISoJVq2RAMX065OXZ/dC0HuGkHytxu/dqTnvd2TVNNggMGQI33SSbj777DjZtkh3I69bJzsuMDDh+XJanTSa5Z7fdJn3eUlLg+edll3A7aTATVaVBmzgiczVJ07ShmqZZPAd4GFijaVoKsMbye9fGYJAdWY0yV0II2cnigszV6eCqydW8J4jZreh0VI47n3MPb2fjoY5fhTmL0x5XlszVzp1w9Kh7dAk2JSRElio//lhe/bZAv7gQymvryS9zjN2Ao4lbuYyUk8fQ/ekJ12StrDz4IMTESGF3B0/uY3pHseNYSae3v8uyYDMB0/790t8rIUGa4gYHO28hAwbIEuGJE7JhwE7D0aFJ4ZyqNLrduJbc4mqEsOF/1xLffSdLf1dcIbODn30GmzfLUmBLCCEvml99VX4GjR4N998PgwbBl1+2673ZOzqIsAAfpbtqBmeUBWcD1t7Z9wA3PIu4AKtTeyNRe8+oIJdkripqTfjoBX6GRiedigr5QekpwRUQddlFxFWc4tdvN7h6Kc2SVyo/0BuCq6VL5QfdJZe4cFUtMH8+FBe3Osw5xToGxx3NRE0mxi9+lcy4XvCb37h2LaGh0mPrp5/aNCDbFmP6RFFv1tjaySezkso625mr48dlmc5gkGW72Fgbl03uAAAgAElEQVTnL+bcc2Xmd98+OT6nuvWAKa1HOADbj7lXaTCnuJq4EH98DXachvfskdnuadNkcPn22zJIuvzytpdgBw2SGa5vvpFZxssuk8FZenqbnkanEwxPCldjcJqho8GVBqwSQmwTQtxmuS1O07Q8AMt3m39xQojbhBBbhRBbCwsLO7gMD2DEiLNE7clRgRw7VY2pkwWBNoc2e5CY3YrPhdMBqPt2Vafvob3kldbgZ9CdHiC8dCmMHeu+PmJTp8q1tVIaPG3H4Ia6q8WLiTt+lE8vvtH1Bq0gSzGpqTKLVd/+rNPI5AgMOsGmTiwN1pnMlNfWny1or6qCmTOl1cQ338ixQp3FtGmy8WLdOlmObGVP+3ULwd9Hxw43C65yS6rsE7Nv2CAnZuzYIe0tDh6EG2/sePfrjBkyQHvlFfl9+HA5iqiuzu6nGJEcQUZBBaVV9j+mq9DRT55xmqYNB2YCdwohJtr7QE3TXtc0baSmaSNjYmI6uAwPwIZTe3JUEEaTudNLK5W19QT5eq6YvYHkZCoSezL04Da3TU0fL5EOzEIIWQ5MT3fPkqAVg0HaMnz9texobIbIIF+ig/3cz46hvh6efJIj8X3YP3aaq1cj8fGBp5+W2Za332730wT5GUhLDO9UUbvVQLRhRqOVRx+VJ+RPPpEn5c5m7lwZFCxfLn21WsBHr2NwfJjbBVc5xdWt662+/15qzGJjpZ3PwoWyGcZRGAzSCf/QIRlY/etf0iW/1D7riuFJFt3VMff8/HUlHQquNE07bvleAHwBnAucEEJ0B7B8L+joIr2C/v3lgNxGuqtkS8dgVieXBitq6213CnbvLr88CL8Z0xmTvYtv07NdvRSb5Jc2MhD98kv53Z2DK5Clwbo6qb1qgX7dgt3PSPTDDyEjg9cnLyAipAU38M7msstk9uGJJ2QJvp2M6R3FrtzSho5fZ2M13zyjLLhxo8yg3H67zH64ittvl3MIX38d3n23xUPTEsPZlVvqNs0vJrNGfmlNy+7sX30lA51evaTHV2Ki8xYUHi7tHN55B378Ub5Xs7JafVhaYjg6oUTttmh3cCWECBJChFh/BqYDu4FlwPWWw64HvuzoIr0CvV5e4W3e3HDT6eCqc0XtlcZ6zxazN8LnwukEG6s59u3PbtcNBLIs2KC3+uILGDxYOlC7M2lpcp2tlAZTYqUdg9v43FiyVgwdyhfJI8+c5ehqhDg9CmbRonY/zZg+UZjMGluOdNz53R6KrZkrq6C9pkZ2qCUmwj/+0SlraJG//EX6s91+u8ykNcPQxHBq681uoxE8UVZDvVlr3p19yRLZXDJkiAx2OquD+4YbpH4uJwfOO6/VLtcgPwMDuocq3ZUNOpK5igPWCSF2AL8AX2uathJ4GpgmhMgApll+VwCMHy/frFUymOoeFoCPXnR6cFVRazpTc1VZ6XFi9gYmTUITggG7N7PTzVyYTWaN/LIauof7S1+ZtWvdP2sFMhBYsEC2djfSCDalX7cQqutMLpkyYJP//hcyM6l95DFq6jUigxxYPnEEY8ZIgb01yGoHI5Ij8NXrOs2S4fTQZkug+uc/y8+KN95wDysRg0FaXUREyA66ZspZQxOlqD3dTUqD1s5Fm2XBd96BefPk+2XNGoiK6tzFTZ4ss5P+/jBx4umMezOMSI4gPbuEejfJCroL7Q6uNE07rGlamuVrkKZpT1luP6lp2hRN01Is3zvnEssTmDBBXl1v2gSAXidIjAzs9LJgZdOyYHo6mM2eGVxFRmIaNpzxWTtYuad9JyxncbxENiv0iAiUKX6z2TOCK5DuzkJI4XAzpMZZxuC4QzbAbJYO1EOHUjhZmrNGNtUJuQN//7u0uXjiiXY93N9Hz9CkztNdnS4L+sgLw2eflZmr6dM75fXtIi5OZnqOHJFrs5HB7hERQFSQr9vornJLLAaiTYOrf/1L/humTpUdfaGhLlgd0vZi0yaZOZszR5aBm6kMDE+KoNJocj/9pYtxg1aaLsTYsfKEtXZtw03JkYGdXxZs2i3oiWL2RhimT2NY3n5+2nrYrUqDhwqktiYlNlh2Cfbo4Rrxb3tISJDt2S2Mw7HaMRwscIMP1RUrZEblgQc4ZSlluV3mCmRJ+I47pGv27t3teorzekex53gppdXO79BqKAsaOG1Y2YGyptMYP14G159/Ls0xmyCEIC0x3H0yV6csmavGmqunn5ai8ssuk7NHA1080DkuDn74QQZX994rZ0Xa6MwcYTUTdcMRQ65EBVedSXg4nHPOmcFVVBBZJys7NSg4S9C+bZus6cfHd9oaHMrUqRhMJuJ2/OJWI1mss/dSgvXSXfqyyxw7FsTZzJ8vswHr19u8O9Tfh+5h/hx0h8zVokUyeJ07l5OWoc2R7qS5aszjj8uMxIMPtuvhI5IjMGuw57jzy+DFVUZ89ToCFz0jB2D/5z/yc8wdufdeWRp86KEzPmOtDE0M51BhBeU1rrcNyC2pJjrYD38fvbx4eewx+OMfZcZ4yRLHdgR2hMBA2RH6wAMyq3bZZVB+5t97j4gAYkL8lKi9CSq46mwmTpT1bIuXSHJUIJVGU8MJwdlomkaV0XSmoN1DxewNjBuH5u/P+KPpfLPb/rEYziajoILYED/C1v0gzQ49pSRo5fLL5Yfr++83e4hbzBjctk2KfhcuBB8fit09uIqKklYG33wDq1e3+eEDu8tS0d7jZY5e2VmUVNYxsuwY4qmnpEXHrFlOf812I4S0uujdW/pfNdG1pSWGo2mwyw20mWfYMPztb/DXv8Itt8i/NWeMD+oIOp0sB7/6qixVTpgAx4413C2EYERShNva4bgKFVx1NhMmSEH79u2AdGmHzrNjqK03YzJrp8uClZXSf8eTgyt/f8SECUw7vouVu91Hd5VRUEFKXLDsEoyIkIG1JxEcLAOsJUtkl5gNUuOCOVRY4VoT10WLpLj61lsBObQZ3Di4Ajk8t1cvmRFoNLXBHmJC/IgN8WNvnvODq9LyKv68dBFERspWfXcnNFSOhCkpkaLwRmWstB5hAKS7wRDn3JJqObD55ZdloD1/vswKunJUU2vcfrv0vztyRI7PadRJODw5nOxTVRSWtzw2qyuhgqvOZsIE+d2Stk7qZDsGqz9OQ1lwxw7PFbM3ZupUko4f5uShbI66wZR2TdM4dKKcflEB0uhw1iz3uyK1h/nzZQfWV1/ZvDs1LgRjvbnTmzIayM6Wwd+tt0KYPHmerDRi0AlC/TvoYO1M/PykxmbnTnjvvdaPb8LA+NBOyVxNWPYeKTkHpWFnZ3ettZchQ+Df/5bZzMcea7g5PNCXXtFBpLtYG2Q2a+SWVDNz60qpY7rsMplxc4dpAq1x4YXSMd7XV14sfv450Fh35QbZK01rdTZqZ+AB/5teRrduUtRqCa56RASgE3C0k4KrhqHNVod2DxezNzB1KgBjs9Ldomswr7SGSqOJMcf3yll9nlYStDJlijSWbaY02K+bRdTuqk4hazZl4cKGm05VGIkI8pWu+O7MlVdKL6FHH22zsejA7qEcKqigtr5tWa82sW8fVy5/i22jprh+RmNbWbBAjh16+mkpDreQ1iOMHS7OXBVV1DJ5z1oueukx+bn10UcdH2XTmQwaJP0a09Kkxu3ppxnUPRRfvc71uqvcXHkh+/vfu3YdqODKNUyYIIMrsxk/g57uYQFkd9KVvzVz1VAW3LZNdoV4qpjdytChEBnJJYV7+cYNSoMZlk7BIVt+lH4xF17o2gW1F71eam2++QZszADtGyvtGFyiuyotlX5Lc+dCUlLDzaeqjO5lINocQsiSZl5emzvwBsaHUm/WnDfb0WSCm26iyteflb97xDmv4WxefFF2586f3yDDGJoYzomy2oaB6q6g9MuveGnZs5SljZBdxO4iXm8LcXFyNM/VV8Mf/4j/724jLS7AdborTZM+d4MHyw7HwYOb7XLuLFRw5QomTJADT/ftA6BndGAnZq7klW5w4+BqxAjP6mKzhU4HU6Yw+vB2dmQXc9zFxpYZJ8pB04j5fqUcNBsU5NL1dIgFC6R2xUb5KtDXQFJkoGs8bt54Q3Yu3X//GTefqjS6t96qMWPHygzWM8/A8eN2P6xB1O4s3dXzz8OmTTw59bcY4j1rJFYD/v4yeAkLk75c+/eTZjETdZnf1bp19LptPhnRSRQu/syzPxcCAuS4qccfh3fe4bk3HiQ74xjG+k42E83Pl5WBBQtg4EApdbn7bpef01Rw5Qqa6q4ig8g+1cllQT+9FNbv3ev5JUErU6cSUphP71O5fOvi0mDGiQomlh5Ffyzbc0uCVoYMkfqKl1+26XOTGueCGYN1dTIzccEFZ71/T1XKsqDH8Pe/y3/P44/b/ZDkqCACffXO0V1t3w6PPELdpbP5fMD5p0ffeCKJidLlXK+HqVMZaDyFj16QfswFHYO//goXX0x5TDwL5j5J954eGrQ2Rgjp2v/f/5J4YAcfvXsfh7/9uXNeW9OkO/+gQXJkz6JFcgZjSkrnvH4rqODKFfTpI3UsluCqZ1QgpyqNlHWC/8oZgnZvEbNbseiu5pza5/KuwYyCcq48vFGK2OfMcelaHMJ990nxuEXA2pjUuBAOF1Z27hXrJ5/I+WcPPHDWXacqPaQsaKVPH6kRefvtFufjNUavE/TvFuL4zFVVlfRaiomhYNHLIMSZQ5s9kZQU6TNXWYnfjAsZF2gk/Vgnl6/27ZPSgPBw3nz835hiYs70GvR0rruO0uUrCKmtov+sSbIUm53tvNcrKJA6wGuukf+/6enyM8qNui1VcOUKhDitu+L0AOfsTigNVjbWXHmLmN1K797Qqxcz8/ew5egpiipc0zGiaRoZJ8qZkP6DLAlGRLhkHQ5l1iwZBLzwwll3pcaFUG/WONpZHYOaBs89B/37w8yZZ9xVZzJTWl3nOWVBK48+Ks05H3jAbq3IwPhQ9h0vc6wB8QMPSKf799/npL9sVojw9OAKpHnzypWQn88/Xv8D2QePdZ59yJ498sJPr4fvvmOPPuxMZ3YvIeLCKfz52c95e/xctE8+gdRUePjhZuc9tguTSTYADBokO5j/8Q9Yt05+FrgZKrhyFVYjtqwski1eV51xcqpoGlzFxclRJ97C1Kn02r0FYTKxeu8JlyyhoLyWPkf2El6YJ8XW3oBeLzvyNm1qmI1pJdUyBqfTZgz++KMsXd1//1nt69ZBwx6VuQIZgD/+uDQV/fZbux4ysHsY5bX1DUOAO8zy5fDaazLAmjLl9OgbTy4LNmb0aFi+nOj8Y7z2waMczrRf49ZuPv1Uvq7JJP9vU1LILa4+e6agl3DbpcN4ctwC3n93lfzse+YZeVH20ktg7IBR9r59MlBLTpb+ZcnJssz64INu22mpgitX0Uh3lRTZeV5XVkF7kK9emsB5g5i9MVOnoi8rZVp1jsu6BjNOVHDx/rWYfXxg9myXrMEp3HijFAc3yV71jglCJzrRjuG55yA2Fq677qy7iistAYGnBVcgZw727SuDGxvatqYMjJei9j2O0F3l58vZgUOHSrdwGg9t9sC9bI5Jkyh4630GFhwm7Kor5OQEZ2AyyWDgyiulZnHbNhgyBE3TpDt7uIvnBjqJc3qEM6lfDP88WEPlG2/Lf/fQofLCbNAgGWzam2k9eVL6q517rhSqP/ectH/4+GM55WTQIOf+YzqICq5cxeDB8kT1888E+RmICfHrFCPG4iojQb56DLU13iVmtzJ5MgDzSg+w4VBRwyiUzuRgXikX7V9P3ZRp7juHrT0EB0uzzs8+O0NP4e+jZ3BCGG+sPcw7649gdma5Zd8+OaT5rrtkN1gTTlbKUrDHlQVBGjP+4x+yjPTOO60e3i8uBJ1wQMeg2Qw33CC9tj78sMEawPq34zWZKwtx11zJI3P+QHT6L1K305GMii1OnoQZM+T/5W9/KzOtlupAcVUd1XUmr81cAdw9JYXiqjr+uykLhg2TGbsVK+T76sorpd542DC5R9dfL7NPixZJK4VVq6Su8/LL5XF33SUNQRctkhrLr7+WGTEPMGRWwZWr0Oth3LjTuqvIwE7JXB0pqqRXTJD3idmtREfDsGGMytyOSdN4fe3hTl9C7fqNJJQX4jvvqk5/badjNed7+eUzbn59/kjG9I7iz8v3cvXrm5znkv/887IF/Pbbbd5tHX0TFeSB3kEgmx8mTJDZq717Wzw0wFdP75jgjncM/utfshT5/PMwYEDDzdayYFiA+5/I2oJOJ8ibeRkvz31AnvSvu85xjt7bt8vP1J9/hjfflE7xjXyscorlZ3yCFwdXw5IimJgawxs/H6bKWC8rIzNnStH5O+/AxRfLIeunTsnA86WX5Pt9wQIp+r/iCjks/q675GN27JBi9W7dXP1PaxMquHIlEyZI8WhhIclRnWPHkFlYQZ+YYO8Tszdm6lQCt25mbv9I3l53pNMNAxO/W06dwQfhTSVBK0lJ8sPvjTfOcBXvFubP2zeM4rkr09iXX8aMF3/m7XUOzmKdOCGd4q+/XgbRNmjItgR5aEAgBPzvf3Jg9sUXy39zCwzsHsq+jmSudu2SmYNZs+B3vzvjrpIqI6H+Bgx67ztNDE0M56XeF1D39DOy87R3b/jnP+Ws1fby3/9K3zKTSV4033zzWYfkWvRx3ihob8zCKSmcrDTyv01Zp280GGSG9K23pL7vl18gK0uWZktK4MABGZT++KPMUj3/vCwDeije91fjSVgH+a5bR3JUIHmlNdTUOW+cRbXRRG5J9engKjbWu8TsVqZOBaORB4IK0DR4YfXBTntpzWRi1JbvyRg2rmHWnddx772yA6hJ6UoIwW9G9GD1veczpncUT37l4CzWK69IP6h77232kJMNpSwPLAtaSUqSJ58TJ6RmrwVd0MD4UHJLqhv0UW2iulq2soeHyxNeE+1lcVWdZ2rX7CCtRzgms0b6VTc3CM25917o2VP6jrWlw81olJqiBQukeH3bNqkTskGuxdw4McI7NVdWRiRHMCElmtd/Pky1sZVzmhDyszI1VSYczj/fI8p+raGCK1cycqTUjaxd22DHcMyJ2asjRZVoGqeDK28Ts1sZPx58fYnZvI75Y5L5dFtOp4mtS77/mbjyIgpnXtopr+cSzjtPfr34orxKb4JTsliFhbIUeeml8kO4GU5VGgkL8MHH07MtI0fCBx/Iq/vrr5clfBt0yKn94Ydh92549115odWE4iqjd4nZG2F1ak/PLpEXYz/+KLNNI0fC//2f7EZ77DEoKjr7wcePwxdfwEMPyUAgIkKWtu65RwZqNvbSSk5xNcF+BkID3LPDzZEsnJJCUYWRDzZntX6wF+Lhn0Aejq+vvNJZu7aRHYPzgqvMQlnG6Rui804xu5XAQKlnW72auyb1JcjXwDMr93fKS1d/sJhavQ++nu7K3hr33QeZmdJrxga2slg3v7el/Z5MDz8sy5B/+1uLh3nU6JvWmDNHtrJ/8on0wbLBAGtw1Vbd1YoVMiBYuFAKi21QUlXndWJ2KzEhfiSEB5DeeIjz+PFyhubWrbIx5q9/lZms+++Xguorr5RZxYQEKbh+4QWoqZHlv5Ur5e+tZFxyLDYMbj9U3AGM7BnJuL5R/Punw06tyLgrKrhyNRMmwPbt9PSVbz5ndgxmFlYgBPTMPSQzDt4aXIE079yxg4iKYn53QR++21fAL0dOOfc1zWbCv/qSH3uPoHcfLxht0RJz5sirexumoo2xZrHumtSXHw4UcqQ9JcKNG6V7+X33yZbsFvCq4Arkif2222SpykYHYUyIH7EhfvZnrjRN6uUuv1xaBDz9dLOHFlcZPbu82gpDE8Nl5qopI0bIjrXdu+Xoqn/+Uwqut26VF20vvCDfk2VlsHmzDFLtHMyeU1zl9XqrxiyckkpRRS0fbnaiW7ubooIrVzNhAphMhO/YRqi/wakdg5mFlSRGBOK3I13e4M3B1SWXyO+LF3PTuF7Ehfrx92/2OdbNuinr1xN4soA1Q84nNsRDu9XsxWCQnYM//SQ7pFpACMHckYkA/HywsG2vYzJJ/6eEBFmmaQWvC66EkN1806bJIOv77886ZGB8qH2Zq6oq6VV2221S77lmjU07CyslVXWEe2nmCmRwlVtSTWF5M52CgwbJ5oKcHMjLgyNH5Cy7e+6RZfEW9q45ckuqvbpTsCnn9opkTO8o/v1TZpfLXqngytWMGSNdpteupWd0EFlO1FxlFlTQJyZI6q1iYmQ7rLcyeDCMGgVvvUWAj457p6ayPbvEuQOdlyzB6ONL7vgpXSLtzy23SO+rVrJXAElRgSRHBfJzhg0NS0u89ppsx37hBflarXCy0kikt2VbfHxkaTA1VXZq7j+zxD2weyiHCiqorW/h5HXokPysef996QT/zTfyM6AZjPVmKmrrvTpzZdVd7cyxkb1qTPfuDrEBKK2uo7ym3qs9rmxx95QUCspr+eiXrpW9UsGVqwkJkYZqFqd2Z5UFzWaNw0UV3i9mb8zNN8vU/pYt/GZED/rGBvPMygPUm5wwYNhkgk8/ZW3KuSQmxTn++d2RsDDp6v3RR/LKvhUmpsSwMfNky0FAY06ckFqjadOk2WMraJpGcaWRyGAvDAjCwqSBoq8vXHSRFPhbGBgfSr1ZI+NEhe3HLl0q/95zcqTW6s9/bnXAbUm1dxqINmZwQih6nSD9WCvBlYM4bcPg3Z2CTRnTJ4pze0XyWhfLXqngyh2YOBE2b6ZPiA85xdVOeQPmllRTU2cmNdQgHaC9uSRoZd48KW5/6y0Meh0PzejP4aJKPt56zPGvtW4d5OfzRd+x9I1tPcPiNdx9txzV8sorrR46MTWG6joT27KK7Xvuhx6SpayXX7brQqCspp56s+Z5cwXtpWdPWLZMBrIzZ0odWno6A6NlJuQs3VV9vfSwmjMH+vWTs9iaEa83pcRiIOqt3YIAgb4GUuNCOi+4stgwdLXMFcA9U1I4UVbLJ8747HVTVHDlDkyYADU1XFCZjcmssTHzpMNfwtopOOjkUe8Xs1sJDZUdPosXQ2UlUwfEMjI5gn9+lyGdgx3JkiWY/AP4vs8oUiyDjLsEffpIL6Z//1sGQi0wpk8UBp3g54N2lAbXrYP33oM//EEGBnZwyhs8rlpj9Ghp0XDokMzMDhtGr17dWP7+vfR+9H54/XUpvM7KgilT4NlnpWZt7VrZgGAnxV1hL5G6qx3HSpw7sslCV3Bnb44xfaIY1TOCV3/MtD9z7eGo4ModGD8egMGHdxLoq+e7fS27MreHzEJZbkw+atFrdIXgCuQJqLwcPvkEIQR/vKg/heW1vLX2iONew1ISzBkziSrfAFK6UuYKpPniyZMyGGqBYD8DI5IjWhe119fLgCApSXoO2Yk1uPLKsmBjLr9cjg45cAAWL0bcfTdaSCj9166Us+xGjZJZrq1bpSD7lVfOGMFiD8UNmSvvLQsCDE0Mo6ymnqOdMNc1t7gafx+d92ZWW0AIwcIpqeSV1vDJ1hxXL6dTUMGVOxATA/3747N+HRNSovl+f4HDu9oyCysID/QhaPMGKc5MTHTo87st48dLIfBbbwEwIjmS6QPj+M/PhzlZ4aB5Yj//DAUFbBo5mSBfPd3D2t5F5NFMmCBb1O+/v2FWZnNMTI1hb15Z8x1aILvjdu2SLfBBQXYv4/RcwS5w8tLp5Pv66qvh2WdZ8o93GHP/ErRDh2DJEvjLX2DLFrj22nY9vdXx3Vsd2q2c2ysKgJXObHSxkFtSTUJ41/C4ssW4vlEMSwrn7XVHnNu17Sao4MpdmDAB1q9nako0eaU17MtzrKN4ZkEFKZH+iFWrpF6jq/yBCyFF1+vWySt94MEZ/amuM/Hy94cc8xpLlkBgICuThtM3LqTrfXgKIX2BkpLkPLwtW5o9dGKK7FBbd6iZ7FVenuxmmzlTegy1gVOVMmDzKisGOxnYPYxyo4mciO6yFP7oo616grXE1qxiQvwNXm8p0is6iDG9o/hgU7ZzGl0akVNcTYKXj71pCSEE80Ylcbiokp05bRgv5KGo4MpdmDABSkuZYpYnnTUOLg1mFlZyQclhKC6W3UZdieuvl91Rb78NQN/YYOaOTOSDzVlkd9RXrL4ePvsMZs1id6mJ1K5WErQSGyt9k6KjpaHizp02DxsUH0pUkG/zuqs//EHOanvppTZfAJyqlKWsLhlcxUun9j1tdWq3gbHezKo9+UwbGOf5Y4Ts4PqxPcktqWbN/gKnvk5uSXWXFLM3ZsaQbvgadHyxPdfVS3E63v+X4ylMmABA5K+bSUsMd+gfemlVHUUVtYw58IsMMqZOddhzewTdusGsWXKGWp08Ad8zNQWB4L2NRzv23D/9BIWFVM6+nMLyWlLiumhwBdLoc80a2aE5bRocPHtgtk4nGJ8SzdqMwrNFxD/+KMXaDz0Effu2+eVPVdbi76Mj0Nf757Y1pV9cCDrRzhmDTdh4+CRlNfVcNNjLpwxYmDoglvgwf97bcNRpr1FlrOdUpbFLubPbItTfh2kD4li+4zh1Ts4UuhoVXLkLyclSB7V2LVP7x7Ijp6RlXUobyCySnYIpW9dKbUx4uEOe16O4+WYoKJBeQUBcqD9j+kTxfUeD2CVLICiIA8PGAZAS24U6BW3Rqxd8950cszJlChw9etYhE1NiKKownhkIFBbCnXdKIfbDD7frpTcdPkVqV+rUbESAr57eMcFtnzFog2925RHsZ2B8SrQDVub+GPQ6rhuTzIbMk2Q4acC71eOqq2euAC4blsDJSiPr2moo7GG0O7gSQiQKIX4QQuwTQuwRQiy03P4nIUSuECLd8tXFalDtRAiZvVq7lsn9Y9A0+OGAY7JXmQUVxJafJGT/7q5XErQyc6Z0WrYI2wGmDIjlSFElhwubMV9sDWtJ8JJL2F8mr8K6lMdVc/TvD6tXy0HLU6bA8eNn3D3BctL+OaNQlg9vvlleWOzbJzvbAjUBHH8AABrJSURBVNp+AsosrGBXbimXpsU75J/giQzsHsq+Dmau6k1mvt2Tz5QBsfj7tGw06k1cPSoJX4Ou45nsZshRwVUD56fGEB7o4/WlwY5kruqB+zVNGwCcB9wphLAqKF/QNG2o5WtFh1fZVZg6FfLyGJh7kO5h/ny/z0HBVWElU7J+lb901eDKYJDaqxUrGk72k/rFArQ/e7VqlbQgmDuXjIJyAnz0XT7t30BaGqxcKbOFU6ee4SgeG+zL9UU7mfi7q+VxixfLmXd79rT7/fll+nGEgEu6cnAVH0puSXVDp1972HzkFMVVdczsIiVBK5FBvlyaFs/nv+ZSVlPn8OfPKema7uy28DXomHVOd1btzaei1sF+g25Eu4MrTdPyNE371fJzObAPSHDUwrokc+aAry/io4+Y3D+WtRmFDjFcyyysYOax7VITM3iwAxbqodx0E5jNDX5MiZGB9IsLYU17gtjaWmk9kJwMM2dyqKCCvrHB6HRdrFOwJUaPhq++kgNvp0+HY8ekUD01lT+/9X9EHc/C+NTf5ViW116DAQPa9TKaprEsPZcxvaOIC+1iNhiNGNhdito7ortasSuPQF89F/Rrfu6gt3L9mJ5UGU18ts3xPky5xdX46IXXd1/ay5xhCdTUmfl2t/MtMFyFQzRXQoiewDBgs+Wmu4QQO4UQbwshIpp5zG1CiK1CiK2Fha2YCnYVwsPllftHHzElNYpKo4nNh091+GmP5pcwKmObfO6uZhPQmJQUOWrorbdkkAVMHhDLlqOn2n61+swzcoDuq6+Cvz8ZJyq6nnmoPZx/PnzxhcxKJSXBwoUQG8v+F99gwm/fZO2cGyEyskMvsTOnlKMnq5g9tOtmreB0x2B7dVcms8a3e/KZ1L9rlQStDOkRxrCkcN7fmOVwx/ac4iriwwPUxZeF4UkRJEYGsDTde0uDHQ6uhBDBwGfAPZqmlQGvAX2AoUAesMjW4zRNe13TtJGapo2MaWE6e5dj3jzIy2P88b34++g6bMlQZzITs3MbAdWVXbck2JhbboHMTGn8CUzpH0u9WWOtPSNZrBw8CE89BXPnwkUXUVZTR35ZTdcae9MWZsyQw4NvuQU2bYING+h5+40Y/H1bd2u3gy/Tj+Or1zGji5WymhId7EdcqF+7M1dbjp6iqMLYZboEbXHD2J4cKapk7SHHiq2VDcOZCCGYMzSB9YeKOFFW4+rlOIUOBVdCCB9kYPWBpmmfA2iadkLTNJOmaWbgDeDcji+zCzFrFgQH47vkY8b3jWZNB93as05WMfHQFswGHyku7upccYWcOWgRtg9LiiA80Ic1++0MYjUNfvc78PeHF18E4FCBpRtTZa6a56KL4I03ZKkQ8PfRc17vKH7uYMeQyayxfOdxJvWPISzAu0e12MPA7qHtzlx9sysPfx9dlywJWpk5uDvRwX4Ot2XIKa5WeswmXDYsAbMGy3ccb/1gD6Qj3YICeAvYp2na841ub3zZMwfY3f7ldUECA6Uz9WefMa1PODnF1Rw80c5uNqTe6oLMrVSeOwZCVGaFwEC45hr49FMoKUGvE0zqF8uPBwox2VMKeP99+OEH+Mc/pH8WNLRvd2mPq3YwMSWGI0WVHDvVfiPXjZknKSyvZfZQJfcEWRo8VFDRZq2m2azxze58LkiNJciv6/mEWfE16LhmdBI/HCggy0HzBmvqTBSW19KjC7uz26J3TDBpieFe2zXYkczVOGA+MLmJ7cIzQohdQoidwCTgXkcstEsxbx4UFzP92A4A+7MqNjixJ4P+RVn4XHKxo1bn+dx8M9TUyC41YHL/WE5VGkk/VtLy44qKpIh97Fi49daGmzNOVOBn0KkPzzYyMVVmSH7OaH9p8Mv0XIL9DEzuH+uoZXk0A7uHUW/WyGjjBdmv2cUUlNcyc0g3J63Mc7h2dBJ6IfjfpiyHPF9eqSx7qczV2cwZGs+e42UcdJK/mCvpSLfgOk3ThKZp5zS2XdA0bb6maUMst1+qaVqeIxfcJZg2DaKiiFj2GYMTQjtkyRDw3SoA/C+d5ajVeT4jRsA558CbbwLyJK/XCb5vLYi9/34oLYX//EcOzrWQUVBBn5hg9Eqs2ib6xASREB7Qbt1VTZ2JlbvzmTG4W5cUYNuiQdTeRt3Vil35+Bp0TBkQ54xleRRxof7MGNyNj7cco8rYcasAa5k2KUpdfDVlVlo8ep3wyuyVcmh3R3x85PDVL79kRnIwv2YXc6qyfd41SZt/ojCqW7vb3L0SIWT26tdf4ddfCQvwYVTPiJYtGdaskSXBBx88y87iUEGFKgm2AyEEE1Ki2XDoZLtGYfx4oIDy2vou3yXYmOTIQAJ99W3SXcmSYB7np8YQ3IVLgo25fmxPymrq+TK943qgj7Zk0z3Mn2GJXXAyRitEB/sxMSWaL7fnOrxD09Wo4MpdueYaqK7m0qytmDV5ImkrWk0Ng/dv5fCo87u2BYMtrrsOgoOlweVLLzG1byT788vJtZj9nUFNjRSx9+0Ljz56xl0VtfXkllQrMXs7mZgaQ3ltfeslWRss3X6c6GA/xvSOcsLKPBOdTjCgjaL29JwS8kpruEiVBBsYmRzBwO6hvLfhaAcbiipZm1HE1aOSMHSBIdjt4bJhCRwvreGXox23HXIn1P+2uzJuHPToQeLKL4kN8WuX0WXJ6h8IMlZTfkEXG9RsD5GRsHEjDB8OCxey4HeXckHmVttu7U89BYcOSaPLJqNZMq2dgsqGoV2M6xONTsDaNpYGS6vr+P5AAbPO6a5OWk0Y2D2UvXlldmcCvtmVh49eqJJgI4QQXD82mf355fxypP0n/Q9/yUavE1x9bqIDV+ddTB/YjSBfPUu9rDSoPpXcFZ0O5s1DrPqWWQnSD8hY37bSSfXS5dTqDQTMUMGVTQYPljPwli3DB413P/0TabfOkzPurOzdKzsDr7tOZrmaYBViqsxV+wgL9GFoYjg/tdGS4ds9+RjrzVw2THUJNmVgfCgVtfUN8+xaQtM0VuzKZ0JKDKH+ysqiMbOHJhAe6MP7G9snbK+tN/HJ1hymDYjr0pMDWiPAV8+Fg7vx9a48auo6PpHEXVDBlTszbx7U13PF0c2U19aztY1p06A1q9icOIReyeqKtFmEgEsuQezezaqb/kDPjJ1oQ4bA3XfL7sDbbpMWFs8/b/Phhwoq8NXrSIpUYtX2MjE1hp05JRS3QVe4LP04yVGBpPUIc+LKPBPrGJydua2XWnfllpJbUs3Mwaok2BR/Hz1XjUxk5Z588kpbD1SbsnJ3PqcqjVx7XpITVuddzBmWQHlNPT+0d86rG6KCK3dm6FDo14/+P3yFr0HHd20pDR45QlhWJutSz6WbumpqHV9fgv74IBfc9jq5v7kWXnkFEhNh/Xp47jloZopARkEFvWOCVGmqA0xIiUHTYJ2drtgFZTVsyCxidlo8QmkJz6JftxBiQ/x4dOluNh8+2eKxK3blY9AJpg1UF2C2uO68ZMyaxrvtMBX9YFM2yVGBjOsT7fiFeRlj+0QTE+LnVV2D6ozgzggB11yDfu1aLo6oZ83+E/aLK7/5BoCj505U86zsZFTPSIwRUbwy9wFIT4dJk+A3v4Ebbmj2MRkF5fRVJcEOkdYjjFB/g92WDMt35mHW4FJlHGoTfx89n/xuDJFBvlz31ma+2G57ELGmyS7BsX2jCQ/07eRVegaJkYHMTovnnfVHyT5pv9ntwRPl/HL0FNeOTlKfv3ag1wlmp8Xzw4ECSqra1xnvbqjgyt2ZNw80jWuzNpN1sorMQjtdg1esICcynoCB/Z27Pi/C16BjYmo03+8/gTZ4MKxYAZ980mynZZVR6lpSYpWYvSMY9DrGp0SzNqPIrouHZem5DE4IVUFtCyRHBfHF7eMYmRzJvR/v4IXVB8/a2715ZWSdrOIiVRJskYdnDsCgEzz51V67H/Ph5mx89Tp+M0IJ2e1lzvAE6kwaX+30DmtMFVy5OykpMHIk56xdAdC60SVATQ3a99+zutcI+qgTf5uY3D+OE2W17LGjlf1wYSWapsbeOIKJKTHkl9WwfGdeiwHWkaJKduSUMjtNZa1aIyzQh/duOpcrR/TgxTUZ3Ldkxxljcb7ZlY9eJ5g+SAVXLdEtzJ/fT07hu30n7LLEqTLW89m2HC4a0o3IIJURtJeB3UNJjQv2mq5BFVx5AvPm4Zu+nan6UvssGX76CVFdzU+9RtAnRp3428IF/WIQAtuWDI0wmzUW/5INQKqyYegwFw7qRp+YIO5evJ15b2xiV06pzeO+TM9FCJiV1t3m/Yoz8TXoeOY35/CHC/vxxfZc5r/5C8WVRkuXYB7n9Y5UAYAd3DS+J72ig3hy+d5Wu7aX7zhOeW09156X3Emr8w6EEMwZ1oOtWcVsakUr6Amo4MoTuOoqEIIbszeyNauY0qq6lo9fsQKTnz8bk4bQJzaoc9boJUQH+zE0MZw1LQRX9SYzD362kw82Z3PD2J6qPOUAIoJ8WXnPRJ6cPYiDJyq45F/ruOej7eQUn9a5aJrGsvTjjO4VSfcwNafNXoQQ3DmpLy/PG0Z6TglzXl3Pt3vyOVxUyczBKki1Bz+DnscvGcjhokreXn+kxWM/2JxNv7gQRiZHdNLqvIfrxyaTHBXIA5/soKK246OHXIkKrjyBhAQ4/3xGbFiJyWTmyx2tpE1XrCArbTR1vn70jFLBVVuZ0j+WHcdKKCyvPeu+2noTd324nU+35bBwSgpPXDLQBSv0Tnz0OhaM6clPf7iAOyf14Zvd+Uxe9BN/X7GP0uo6dueWcbioksuUkL1dXJIWz+JbR1NWU8/v/vcrQsiMocI+JvWLZeqAOF5ek8GJshqbx+zMKWFnTinXnpekOlnbQaCvgUVXppFbUs1TX+9r/QFujAquPIVrrsH/8CGuMhTx0pqM5qP6jAw4dIitA0aTGBmoBtq2g8n9ZVv6D030FZW19dz87lZW7snn8VkDuXdaqvoAdQIh/j784cL+/PDABVxyTjyvrz3M+c/+wJ+W78FHL1S2pQOMSI5k6R3jSI0LZkr/OGJC/Fy9JI/i8VkDqTNr/H2F7RP/B5uyCfDRK3PbDjCyZyS3TezN4l+yz/oM9iRUcOUpXHEF+Phwf9E2iiqM/OenTNvHWSwYvkkcrvRW7WRA9xC6h/nzfSN9W0mVkeve2syGzCKe/c053DS+lwtX2DWIDw9g0dw0vvr9eAbHh7Etq5hJ/WIJC1RO4h0hKSqQb++ZyL+vG+7qpXgcSVGB/HZib5amHz9rLE5pdR3Ldhxn9tB45XbfQe6blkpqXDAPfbrTY60ZVHDlKURGwowZxH79BbOHdOOj1Tsp/CUdvv8ePvhAGl3efz+89BJav35s0ELpE6NKgu1BCMGk/rGszSiktt5EQVkNV/1nE3tyy3j12hFcOVK1V3cmg+LD+O/N5/L5HWN5as4QVy/HKxBCKOPbdnLHBX2JD/PniWV7MDWa37h0ey7VdSauHa2E7B3Fz6Dn+blDOVVp5Ille1y9nHZhcPUCFG1g3jxYvpx/3jwOUVsLzzW5398funen+LY7qS0wq8xVB5jSP5YPN2fz2bZc/vNzJoXltbxz4yjG9VVuy65ACMHwJCUQVrieAF89j1w8kDs//JUPN2cxf0xPNE3jg81ZpPUIY4gayeQQBieEcfeUFJ5ffZALB3XjoiGeJQdQwZUnMWcO3HMPQq/nuxIdyws07p1/Pj2H9IXu3SE0FIRg54ECeGcLfVQXW7sZ2ycaP4OO//tiF2EBPnxwy2iGqZO7QqEALhrSjTG9o3hu1UEuPieeQwUVHDxRwTNXnOPqpXkVd1zQhzX7TvDIF7sY2TOC2BDPGeWm8sKehL8/vPACPPcco156ip9GTuOxshjo3x/CwhqcxA8VVACozFUHCPDVM31QN2JD/Fjy2zEqsFIoFA0IIfjz7EFU1Nbz3KoDfLA5ixB/g/JfczAGvY5Fc9OoNJr4v8932z/+zQ1QwZWHEhbow+8np7A2o4ifmsxkyyysJCLQR5kDdpDnrjyHdQ9Npl83ZRKqUCjOJDUuhAVjkln8SzYrduVxxfAeBPqqYpCj6RsbwoMX9uO7fSf4dJvtOZnuiAquPJj550nDtb99ve8MYWVmYYXKWjkAP4MeX4P6E1EoFLa5Z2oqkYG+1Jk0rh2d5OrleC03jevF6F6RPLl8L7kl1a5ejl2oM4cH42vQ8eCF/TlwopzPGkX0h1VwpVAoFE4nLMCHRXPTuHdqKilqDJbT0OkEz12ZhlnTePDTHZjN7l8eVMGVh3PRkG4MSwrnuVUHqDLWU1JlpKjCqMbeKBQKRSdwQb9YFk5NcfUyvJ7EyEAenTWQ9YdO8uRXe90+wFLBlYcjhODRiwdQUF7Lm2uPkFlYCSgxu0KhUCi8i6tHJXLjuJ68u+Eod374KzV1JlcvqVmU+s4LGJEcyczB3fj3T5nodbJjUAVXCoVCofAmhBA8cckgekQE8tev91Lw5mbeWDDSLZu3VObKS3hwRn+M9WZeWpOBr15Hj4gAVy9JoVAoFAqHc/P4Xrx6zXB255ZyxWsbyDpZ6eolnYUKrryEXtFBXHdeMrX1ZnpGB6rRFgqFQqHwWmYO6c6Ht46mpMrInFc3sD272NVLOgN1BvYi7p6SQoi/gVTVtaJQKBQKL2dEciSf3zGOEH8D897YxLd78l29pAZUcOVFRAb58sUd43h81kBXL0WhUCgUCqfTKzqIz28fS/9uofzuf9t4d/0RVy8JUMGV19E3NpjYUM+Zv6RQKBQKRUeICvZj8a3nMW1AHH9avpe/frXX5aNyVHClUCgUCoXCownw1fPadSO4YWxPgv0NCMusXVfhNCsGIcQM4EVAD7ypadrTznothUKhUCgUXRu9TvDEJe4hi3FK5koIoQdeAWYCA4F5Qgj3+BcrFAqFQqHwSoQQLs9agfPKgucChzRNO6xpmhH4CJjtpNdSKBQKhUKhcBucFVwlAMca/Z5juU2hUCgUCoXCq3FWcGUrJ3eGdF8IcZsQYqsQYmthYaGTlqFQKBQKhULRuTgruMoBEhv93gM43vgATdNe1zRtpKZpI2NiYpy0DIVCoVAoFIrOxVnB1RYgRQjRSwjhC1wNLHPSaykUCoVCoVC4DU6xYtA0rV4IcRfwLdKK4W1N0/Y447UUCoVCoVAo3Amn+VxpmrYCWOGs51coFAqFQqFwR5RDu0KhUCgUCoUDUcGVQqFQKBQKhQNRwZVCoVAoFAqFA1HBlUKhUCgUCoUDUcGVQqFQKBQKhQMRmqa1fpSzFyFEIZDl6nU4iGigyNWL8BLUXjoOtZeOQ+2l41B76TjUXjqW1vYzWdO0Zh3Q3SK48iaEEFs1TRvp6nV4A2ovHYfaS8eh9tJxqL10HGovHUtH91OVBRUKhUKhUCgciAquFAqFQqFQKByICq4cz+uuXoAXofbScai9dBxqLx2H2kvHofbSsXRoP5XmSqFQKBQKhcKBqMyVQqFQKBQKhQNRwVUbEEIkCiF+EELsE0LsEUIstNz+JyFErhAi3fJ1UaPH/FEIcUgIcUAIcaHrVu9eNLeXlvt+b9mvPUKIZxrdrvbSBi28Lz9u9J48KoRIb/QYtZc2aGEvhwohNln2cqsQ4txGj1F7aYMW9jJNCLFRCLFLCLFcCBHa6DFqL5tBCOEvhPhFCLHDsp9/ttweKYRYLYTIsHyPaPQYtZ82aGEvr7T8bhZCjGzymLbtpaZp6svOL6A7MNzycwhwEBgI/Al4wMbxA4EdgB/QC8gE9K7+d7jDVwt7OQn4DvCz3Ber9rJ9e9nkmEXA42ov27eXwCpgpuX2i4Af1V62ey+3AOdbbr8J+IvaS7v2UwDBlp99gM3AecAzwMOW2x8G/qH2s917OQDoB/wIjGx0fJv3UmWu2oCmaXmapv1q+bkc2AcktPCQ2cBHmqbVapp2BDgEnNvC8V2GFvbyduBpTdNqLfcVWB6i9rIZWntfCiEEMBdYbLlJ7WUztLCXGmDNsIQBxy0/q71shhb2sh/ws+Ww1cAVlp/VXraAJqmw/Opj+dKQ+/ae5fb3gMssP6v9bIbm9lLTtH2aph2w8ZA276UKrtqJEKInMAwZ8QLcJYTYKYR4u1FaNgE41uhhObQcjHVJmuxlKjBBCLFZCPGTEGKU5TC1l3Zg430JMAE4oWlahuV3tZd20GQv7wGeFUIcA54D/mg5TO2lHTTZy93ApZa7rgQSLT+rvWwFIYTeUt4vAFZrmrYZiNM0LQ9kQAvEWg5X+9kCzexlc7R5L1Vw1Q6EEMHAZ8A9mqaVAa8BfYChQB6yBAMy9dgU1Z7ZCBt7aQAikCnaPwBLLJkXtZetYGMvrczjdNYK1F62io29vB24V9O0ROBe4C3roTYervayETb28ibgTiHENmS50Gg91MbD1V42QtM0k6ZpQ4EewLlCiMEtHK72swWcvZcquGojQggf5AfFB5qmfQ6gadoJy3+UGXiD0+nCHE5flYH8TzyOArC9l8g9+9yStv0FMCNnPKm9bIFm9hIhhAG4HPi40eFqL1ugmb28HrD+/Anqb9wumvm83K9p2nRN00Ygg/5My+FqL+1E07QSpC5oBnBCCNEdwPLdKqVQ+2kHTfayOdq8lyq4agOWDMpbwD5N055vdHv3RofNQaa9AZYBVwsh/IQQvYAU4JfOWq8709xeAkuByZZjUgFf5PBMtZfN0MJeAkwF9mualtPoNrWXzdDCXh4Hzrf8PBmwlljVXjZDC5+XsZbvOuBR4N+Wu9RetoAQIkYIEW75OQDL3zZy3663HHY98KXlZ7WfzdDCXjZHm/fS4KjFdhHGAfOBXeJ0W/v/AfOEEEORacKjwG8BNE3bI4RYAuwF6oE7NU0zdfqq3ZPm9vJt4G0hxG5kueB6TbZrqL1sHpt7qWnaCuBqziwJqvdlyzT3vrwVeNGSCawBbgO1l63Q3F6mCCHutPz+OfAOqL20g+7Ae0IIPTIxskTTtK+EEBuR8ombgWykjk3tZ8s0t5dzgJeBGOBrIUS6pmkXtmcvlUO7QqFQKBQKhQNRZUGFQqFQKBQKB6KCK4VCoVAoFAoHooIrhUKhUCgUCgeigiuFQqFQKBQKB6KCK4VCoVAoFAoHooIrhUKhUCgUCgeigiuFQqFQKBQKB6KCK4VCoVAoFAoH8v+bQ5wrIRTtPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.arima_model import ARMA\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "from math import sqrt\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    "data.drop('YEAR',axis=1,inplace=True)\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "# AutoRegression Model training \n",
    "arma_model = ARMA(train, order=(10,1))\n",
    "arma_model = arma_model.fit()\n",
    "\n",
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = arma_model.predict(start_point,end_point)\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.SUNACTIVITY, pred)\n",
    "mse = mean_squared_error(test.SUNACTIVITY, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 36.934332860115326\n",
      "MSE: 2527.6415003516413\n",
      "EMSE: 50.27565514592168\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "from math import sqrt\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    "data.drop('YEAR',axis=1,inplace=True)\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "# AutoRegression Model training \n",
    "arima_model = ARIMA(train, order=(20,0,1))\n",
    "arima_model = arima_model.fit()\n",
    "\n",
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = arima_model.predict(start_point,end_point)\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.SUNACTIVITY, pred)\n",
    "mse = mean_squared_error(test.SUNACTIVITY, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating Periodic Signals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Params [ 47.1880006   28.89947462   0.56827279   6.51178464   4.55214564\n",
      "   0.29372076 -14.30924768 -18.16524123   0.06574835  -4.37789476]\n",
      "Root mean square error 59.56205597915569\n",
      "Mean absolute error 44.58158470150657\n",
      "Mean absolute percentage error 65.16458348768887\n",
      "Symmetric Mean absolute percentage error 78.4480696873044\n",
      "Coefficient of determination -0.3635315489903188\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import required libraries\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "from scipy.optimize import leastsq\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# Create model function\n",
    "def model(p, t):\n",
    "    C, p1, f1, phi1 , p2, f2, phi2, p3, f3, phi3 = p\n",
    "    return C + p1 * np.sin(f1 * t + phi1) + p2 * np.sin(f2 * t + phi2) +p3 * np.sin(f3 * t + phi3)\n",
    " \n",
    "# Create error function    \n",
    "def error(p, y, t):\n",
    "    return y - model(p, t)\n",
    " \n",
    "# Create fit function    \n",
    "def fit(y, t):\n",
    "    p0 = [y.mean(), 0, 2 * np.pi/11, 0, 0, 2 * np.pi/22, 0, 0, 2 * np.pi/100, 0]\n",
    "    params = leastsq(error, p0, args=(y, t))[0]\n",
    "    return params\n",
    "\n",
    "# Load the dataset\n",
    "data_loader = sm.datasets.sunspots.load_pandas()\n",
    "sunspots = data_loader.data[\"SUNACTIVITY\"].values\n",
    "years = data_loader.data[\"YEAR\"].values\n",
    "\n",
    "# Apply and fit the model \n",
    "cutoff = int(.9 * len(sunspots))\n",
    "params = fit(sunspots[:cutoff], years[:cutoff])\n",
    "print(\"Params\", params)\n",
    " \n",
    "pred = model(params, years[cutoff:])\n",
    "actual = sunspots[cutoff:]\n",
    "print(\"Root mean square error\", np.sqrt(np.mean((actual - pred) ** \n",
    "2)))\n",
    "print(\"Mean absolute error\", np.mean(np.abs(actual - pred)))\n",
    "print(\"Mean absolute percentage error\", 100 * \n",
    "np.mean(np.abs(actual - pred)/actual))\n",
    "mid = (actual + pred)/2\n",
    "print(\"Symmetric Mean absolute percentage error\", 100 * \n",
    "np.mean(np.abs(actual - pred)/mid))\n",
    "print(\"Coefficient of determination\", 1 - ((actual - pred) ** \n",
    "2).sum()/ ((actual - actual.mean()) ** 2).sum())\n",
    "year_range = data_loader.data[\"YEAR\"].values[cutoff:]\n",
    "\n",
    "# Plot the actual and predicted data points\n",
    "plt.plot(year_range, actual, 'o', label=\"Sunspots\")\n",
    "plt.plot(year_range, pred, 'x', label=\"Prediction\")\n",
    "plt.grid(True)\n",
    "# Add labels\n",
    "plt.xlabel(\"YEAR\")\n",
    "plt.ylabel(\"SUNACTIVITY\")\n",
    "# Add legend\n",
    "plt.legend()\n",
    "# Display the chart\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fourier Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index of max sine FFT [160 157 166 158 154]\n",
      "Indices of max sunspots FFT [205 212 215 209 154]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import required library\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import rfft\n",
    "from scipy.fftpack import fftshift\n",
    "\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    " \n",
    "# Create Sine wave    \n",
    "t = np.linspace(-2 * np.pi, 2 * np.pi, len(data.SUNACTIVITY.values))\n",
    "mid = np.ptp(data.SUNACTIVITY.values)/2\n",
    "sine = mid + mid * np.sin(np.sin(t))\n",
    " \n",
    "# Compute FFT for Sine wave\n",
    "sine_fft = np.abs(fftshift(rfft(sine)))\n",
    "print(\"Index of max sine FFT\", np.argsort(sine_fft)[-5:])\n",
    " \n",
    "# Compute FFT for sunspots dataset   \n",
    "transformed = np.abs(fftshift(rfft(data.SUNACTIVITY.values)))\n",
    "print(\"Indices of max sunspots FFT\", np.argsort(transformed)[-5:])\n",
    " \n",
    "# Create subplots\n",
    "fig, axs = plt.subplots(3,figsize=(12,6),sharex=True)\n",
    "fig.suptitle('Power Specturm')\n",
    "axs[0].plot(data.SUNACTIVITY.values, label=\"Sunspots\")\n",
    "axs[0].plot(sine, lw=2, label=\"Sine\")\n",
    "axs[0].legend() # Set legends\n",
    "axs[1].plot(transformed, label=\"Transformed Sunspots\")\n",
    "axs[1].legend() # Set legends\n",
    "axs[2].plot(sine_fft, lw=2, label=\"Transformed Sine\")\n",
    "axs[2].legend() # Set legends\n",
    "\n",
    "# Display the chart\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectral Analysis Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import required library\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "from scipy.fftpack import rfft\n",
    "from scipy.fftpack import fftshift\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read the dataset\n",
    "data = sm.datasets.sunspots.load_pandas().data\n",
    " \n",
    "# Compute FFT    \n",
    "transformed = fftshift(rfft(data.SUNACTIVITY.values))\n",
    "# Compute Power Spectrum\n",
    "power=transformed ** 2\n",
    "# Compute Phase\n",
    "phase=np.angle(transformed) \n",
    "\n",
    "# Create subplots\n",
    "fig, axs = plt.subplots(3,figsize=(12,6),sharex=True)\n",
    "fig.suptitle('Power Specturm')\n",
    "axs[0].plot(data.SUNACTIVITY.values, label=\"Sunspots\")\n",
    "axs[0].legend() # Set legends\n",
    "axs[1].plot(power, label=\"Power Spectrum\")\n",
    "axs[1].legend() # Set legends\n",
    "axs[2].plot(phase, label=\"Phase Spectrum\")\n",
    "axs[2].legend() # Set legends\n",
    "\n",
    "# Display the chart\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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